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Finding the Fourth Proportional to 147,294.80, 220,715.40 and 109,678.40

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Solution

The fourth proportional to 147,294.80, 220,715.40 and 109,678.40 is: 164,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,294.80 : 220,715.40 = 109,678.40 : x
  2. Step 2: Convert to fraction form
    147,294.80/220,715.40 = 109,678.40/x
  3. Step 3: Cross multiply
    147,294.80x = 220,715.40 × 109,678.40
  4. Step 4: Simplify right side
    147,294.80x = 24,207,711,927.36
  5. Step 5: Solve for x
    x = 24,207,711,927.36/147,294.80
  6. Step 6: Final answer
    x = 164,348.72

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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.