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Finding the Fourth Proportional to 102,320.60, 153,480.90 and 97,727.90

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Solution

The fourth proportional to 102,320.60, 153,480.90 and 97,727.90 is: 146,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,320.60 : 153,480.90 = 97,727.90 : x
  2. Step 2: Convert to fraction form
    102,320.60/153,480.90 = 97,727.90/x
  3. Step 3: Cross multiply
    102,320.60x = 153,480.90 × 97,727.90
  4. Step 4: Simplify right side
    102,320.60x = 14,999,366,047.11
  5. Step 5: Solve for x
    x = 14,999,366,047.11/102,320.60
  6. Step 6: Final answer
    x = 146,591.85

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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.