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Finding the Fourth Proportional to 185,416, 255,874.08 and 100,533.04

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Solution

The fourth proportional to 185,416, 255,874.08 and 100,533.04 is: 138,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,416 : 255,874.08 = 100,533.04 : x
  2. Step 2: Convert to fraction form
    185,416/255,874.08 = 100,533.04/x
  3. Step 3: Cross multiply
    185,416x = 255,874.08 × 100,533.04
  4. Step 4: Simplify right side
    185,416x = 25,723,799,119.60
  5. Step 5: Solve for x
    x = 25,723,799,119.60/185,416
  6. Step 6: Final answer
    x = 138,735.60

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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.