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Finding the Fourth Proportional to 159,029.61, 238,573.67 and 52,419.90

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Solution

The fourth proportional to 159,029.61, 238,573.67 and 52,419.90 is: 78,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,029.61 : 238,573.67 = 52,419.90 : x
  2. Step 2: Convert to fraction form
    159,029.61/238,573.67 = 52,419.90/x
  3. Step 3: Cross multiply
    159,029.61x = 238,573.67 × 52,419.90
  4. Step 4: Simplify right side
    159,029.61x = 12,506,007,924.03
  5. Step 5: Solve for x
    x = 12,506,007,924.03/159,029.61
  6. Step 6: Final answer
    x = 78,639.49

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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.