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Finding the Fourth Proportional to 137,376.96, 205,948.32 and 133,411.20

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Solution

The fourth proportional to 137,376.96, 205,948.32 and 133,411.20 is: 200,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,376.96 : 205,948.32 = 133,411.20 : x
  2. Step 2: Convert to fraction form
    137,376.96/205,948.32 = 133,411.20/x
  3. Step 3: Cross multiply
    137,376.96x = 205,948.32 × 133,411.20
  4. Step 4: Simplify right side
    137,376.96x = 27,475,812,509.18
  5. Step 5: Solve for x
    x = 27,475,812,509.18/137,376.96
  6. Step 6: Final answer
    x = 200,003.06

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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.