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Finding the Fourth Proportional to 101,488.20, 152,102.70 and 77,998.20

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Solution

The fourth proportional to 101,488.20, 152,102.70 and 77,998.20 is: 116,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,488.20 : 152,102.70 = 77,998.20 : x
  2. Step 2: Convert to fraction form
    101,488.20/152,102.70 = 77,998.20/x
  3. Step 3: Cross multiply
    101,488.20x = 152,102.70 × 77,998.20
  4. Step 4: Simplify right side
    101,488.20x = 11,863,736,815.14
  5. Step 5: Solve for x
    x = 11,863,736,815.14/101,488.20
  6. Step 6: Final answer
    x = 116,897.70

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1.5x scale

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.