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Finding the Fourth Proportional to 185,242.65, 255,636.08 and 100,359.71

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Solution

The fourth proportional to 185,242.65, 255,636.08 and 100,359.71 is: 138,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,242.65 : 255,636.08 = 100,359.71 : x
  2. Step 2: Convert to fraction form
    185,242.65/255,636.08 = 100,359.71/x
  3. Step 3: Cross multiply
    185,242.65x = 255,636.08 × 100,359.71
  4. Step 4: Simplify right side
    185,242.65x = 25,655,562,854.34
  5. Step 5: Solve for x
    x = 25,655,562,854.34/185,242.65
  6. Step 6: Final answer
    x = 138,497.06

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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.