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Finding the Fourth Proportional to 159,095.70, 238,643.55 and 133,046.10

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Solution

The fourth proportional to 159,095.70, 238,643.55 and 133,046.10 is: 199,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,095.70 : 238,643.55 = 133,046.10 : x
  2. Step 2: Convert to fraction form
    159,095.70/238,643.55 = 133,046.10/x
  3. Step 3: Cross multiply
    159,095.70x = 238,643.55 × 133,046.10
  4. Step 4: Simplify right side
    159,095.70x = 31,750,593,617.66
  5. Step 5: Solve for x
    x = 31,750,593,617.66/159,095.70
  6. Step 6: Final answer
    x = 199,569.15

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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.