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Finding the Fourth Proportional to 103,294.24, 154,609.16 and 53,306.24

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Solution

The fourth proportional to 103,294.24, 154,609.16 and 53,306.24 is: 79,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,294.24 : 154,609.16 = 53,306.24 : x
  2. Step 2: Convert to fraction form
    103,294.24/154,609.16 = 53,306.24/x
  3. Step 3: Cross multiply
    103,294.24x = 154,609.16 × 53,306.24
  4. Step 4: Simplify right side
    103,294.24x = 8,241,631,949.58
  5. Step 5: Solve for x
    x = 8,241,631,949.58/103,294.24
  6. Step 6: Final answer
    x = 79,787.92

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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.