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Finding the Fourth Proportional to 97,320.98, 145,787.07 and 89,097.86

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Solution

The fourth proportional to 97,320.98, 145,787.07 and 89,097.86 is: 133,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,320.98 : 145,787.07 = 89,097.86 : x
  2. Step 2: Convert to fraction form
    97,320.98/145,787.07 = 89,097.86/x
  3. Step 3: Cross multiply
    97,320.98x = 145,787.07 × 89,097.86
  4. Step 4: Simplify right side
    97,320.98x = 12,989,315,952.67
  5. Step 5: Solve for x
    x = 12,989,315,952.67/97,320.98
  6. Step 6: Final answer
    x = 133,468.82

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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.