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Finding the Fourth Proportional to 133,780.92, 200,702.28 and 45,032.16

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Solution

The fourth proportional to 133,780.92, 200,702.28 and 45,032.16 is: 67,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,780.92 : 200,702.28 = 45,032.16 : x
  2. Step 2: Convert to fraction form
    133,780.92/200,702.28 = 45,032.16/x
  3. Step 3: Cross multiply
    133,780.92x = 200,702.28 × 45,032.16
  4. Step 4: Simplify right side
    133,780.92x = 9,038,057,185.32
  5. Step 5: Solve for x
    x = 9,038,057,185.32/133,780.92
  6. Step 6: Final answer
    x = 67,558.64

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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.