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Finding the Fourth Proportional to 159,376.95, 239,109.08 and 47,057.13

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Solution

The fourth proportional to 159,376.95, 239,109.08 and 47,057.13 is: 70,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,376.95 : 239,109.08 = 47,057.13 : x
  2. Step 2: Convert to fraction form
    159,376.95/239,109.08 = 47,057.13/x
  3. Step 3: Cross multiply
    159,376.95x = 239,109.08 × 47,057.13
  4. Step 4: Simplify right side
    159,376.95x = 11,251,787,061.74
  5. Step 5: Solve for x
    x = 11,251,787,061.74/159,376.95
  6. Step 6: Final answer
    x = 70,598.58

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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.