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Finding the Fourth Proportional to 185,706.96, 256,275.60 and 100,824.03

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Solution

The fourth proportional to 185,706.96, 256,275.60 and 100,824.03 is: 139,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,706.96 : 256,275.60 = 100,824.03 : x
  2. Step 2: Convert to fraction form
    185,706.96/256,275.60 = 100,824.03/x
  3. Step 3: Cross multiply
    185,706.96x = 256,275.60 × 100,824.03
  4. Step 4: Simplify right side
    185,706.96x = 25,838,738,782.67
  5. Step 5: Solve for x
    x = 25,838,738,782.67/185,706.96
  6. Step 6: Final answer
    x = 139,137.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.