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Finding the Fourth Proportional to 185,931.76, 256,587.80 and 101,048.80

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Solution

The fourth proportional to 185,931.76, 256,587.80 and 101,048.80 is: 139,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,931.76 : 256,587.80 = 101,048.80 : x
  2. Step 2: Convert to fraction form
    185,931.76/256,587.80 = 101,048.80/x
  3. Step 3: Cross multiply
    185,931.76x = 256,587.80 × 101,048.80
  4. Step 4: Simplify right side
    185,931.76x = 25,927,889,284.64
  5. Step 5: Solve for x
    x = 25,927,889,284.64/185,931.76
  6. Step 6: Final answer
    x = 139,448.42

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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.