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Finding the Fourth Proportional to 133,713.10, 200,569.65 and 96,534.10

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Solution

The fourth proportional to 133,713.10, 200,569.65 and 96,534.10 is: 144,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,713.10 : 200,569.65 = 96,534.10 : x
  2. Step 2: Convert to fraction form
    133,713.10/200,569.65 = 96,534.10/x
  3. Step 3: Cross multiply
    133,713.10x = 200,569.65 × 96,534.10
  4. Step 4: Simplify right side
    133,713.10x = 19,361,810,650.07
  5. Step 5: Solve for x
    x = 19,361,810,650.07/133,713.10
  6. Step 6: Final answer
    x = 144,801.15

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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.