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Finding the Fourth Proportional to 102,000.20, 152,870.70 and 49,296.20

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Solution

The fourth proportional to 102,000.20, 152,870.70 and 49,296.20 is: 73,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000.20 : 152,870.70 = 49,296.20 : x
  2. Step 2: Convert to fraction form
    102,000.20/152,870.70 = 49,296.20/x
  3. Step 3: Cross multiply
    102,000.20x = 152,870.70 × 49,296.20
  4. Step 4: Simplify right side
    102,000.20x = 7,535,944,601.34
  5. Step 5: Solve for x
    x = 7,535,944,601.34/102,000.20
  6. Step 6: Final answer
    x = 73,881.66

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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.