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Finding the Fourth Proportional to 169,333.72, 233,688.12 and 96,742.96

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Solution

The fourth proportional to 169,333.72, 233,688.12 and 96,742.96 is: 133,509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,333.72 : 233,688.12 = 96,742.96 : x
  2. Step 2: Convert to fraction form
    169,333.72/233,688.12 = 96,742.96/x
  3. Step 3: Cross multiply
    169,333.72x = 233,688.12 × 96,742.96
  4. Step 4: Simplify right side
    169,333.72x = 22,607,680,445.64
  5. Step 5: Solve for x
    x = 22,607,680,445.64/169,333.72
  6. Step 6: Final answer
    x = 133,509.62

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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.