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Finding the Fourth Proportional to 159,000.66, 219,424.95 and 87,382.50

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Solution

The fourth proportional to 159,000.66, 219,424.95 and 87,382.50 is: 120,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,000.66 : 219,424.95 = 87,382.50 : x
  2. Step 2: Convert to fraction form
    159,000.66/219,424.95 = 87,382.50/x
  3. Step 3: Cross multiply
    159,000.66x = 219,424.95 × 87,382.50
  4. Step 4: Simplify right side
    159,000.66x = 19,173,900,693.38
  5. Step 5: Solve for x
    x = 19,173,900,693.38/159,000.66
  6. Step 6: Final answer
    x = 120,590.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.