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Finding the Fourth Proportional to 160,032.54, 240,078.57 and 66,545.82

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Solution

The fourth proportional to 160,032.54, 240,078.57 and 66,545.82 is: 99,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,032.54 : 240,078.57 = 66,545.82 : x
  2. Step 2: Convert to fraction form
    160,032.54/240,078.57 = 66,545.82/x
  3. Step 3: Cross multiply
    160,032.54x = 240,078.57 × 66,545.82
  4. Step 4: Simplify right side
    160,032.54x = 15,976,225,305.08
  5. Step 5: Solve for x
    x = 15,976,225,305.08/160,032.54
  6. Step 6: Final answer
    x = 99,831.11

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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.