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Finding the Fourth Proportional to 102,488.58, 153,951.39 and 96,496.20

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Solution

The fourth proportional to 102,488.58, 153,951.39 and 96,496.20 is: 144,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,488.58 : 153,951.39 = 96,496.20 : x
  2. Step 2: Convert to fraction form
    102,488.58/153,951.39 = 96,496.20/x
  3. Step 3: Cross multiply
    102,488.58x = 153,951.39 × 96,496.20
  4. Step 4: Simplify right side
    102,488.58x = 14,855,724,119.72
  5. Step 5: Solve for x
    x = 14,855,724,119.72/102,488.58
  6. Step 6: Final answer
    x = 144,950.04

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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.