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Finding the Fourth Proportional to 96,632.60, 144,948.90 and 80,011.40

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Solution

The fourth proportional to 96,632.60, 144,948.90 and 80,011.40 is: 120,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,632.60 : 144,948.90 = 80,011.40 : x
  2. Step 2: Convert to fraction form
    96,632.60/144,948.90 = 80,011.40/x
  3. Step 3: Cross multiply
    96,632.60x = 144,948.90 × 80,011.40
  4. Step 4: Simplify right side
    96,632.60x = 11,597,564,417.46
  5. Step 5: Solve for x
    x = 11,597,564,417.46/96,632.60
  6. Step 6: Final answer
    x = 120,017.10

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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.