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Finding the Fourth Proportional to 133,569.32, 200,455.54 and 49,409.08

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Solution

The fourth proportional to 133,569.32, 200,455.54 and 49,409.08 is: 74,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,569.32 : 200,455.54 = 49,409.08 : x
  2. Step 2: Convert to fraction form
    133,569.32/200,455.54 = 49,409.08/x
  3. Step 3: Cross multiply
    133,569.32x = 200,455.54 × 49,409.08
  4. Step 4: Simplify right side
    133,569.32x = 9,904,323,812.30
  5. Step 5: Solve for x
    x = 9,904,323,812.30/133,569.32
  6. Step 6: Final answer
    x = 74,151.19

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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.