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Finding the Fourth Proportional to 261,455.52, 392,248.68 and 74,467.02

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Solution

The fourth proportional to 261,455.52, 392,248.68 and 74,467.02 is: 111,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,455.52 : 392,248.68 = 74,467.02 : x
  2. Step 2: Convert to fraction form
    261,455.52/392,248.68 = 74,467.02/x
  3. Step 3: Cross multiply
    261,455.52x = 392,248.68 × 74,467.02
  4. Step 4: Simplify right side
    261,455.52x = 29,209,590,298.53
  5. Step 5: Solve for x
    x = 29,209,590,298.53/261,455.52
  6. Step 6: Final answer
    x = 111,719.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.