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Finding the Fourth Proportional to 229,474.71, 316,720.65 and 146,635.74

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Solution

The fourth proportional to 229,474.71, 316,720.65 and 146,635.74 is: 202,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,474.71 : 316,720.65 = 146,635.74 : x
  2. Step 2: Convert to fraction form
    229,474.71/316,720.65 = 146,635.74/x
  3. Step 3: Cross multiply
    229,474.71x = 316,720.65 × 146,635.74
  4. Step 4: Simplify right side
    229,474.71x = 46,442,566,886.03
  5. Step 5: Solve for x
    x = 46,442,566,886.03/229,474.71
  6. Step 6: Final answer
    x = 202,386.43

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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.