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Finding the Fourth Proportional to 160,726.32, 241,108.92 and 77,562

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Solution

The fourth proportional to 160,726.32, 241,108.92 and 77,562 is: 116,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,726.32 : 241,108.92 = 77,562 : x
  2. Step 2: Convert to fraction form
    160,726.32/241,108.92 = 77,562/x
  3. Step 3: Cross multiply
    160,726.32x = 241,108.92 × 77,562
  4. Step 4: Simplify right side
    160,726.32x = 18,700,890,053.04
  5. Step 5: Solve for x
    x = 18,700,890,053.04/160,726.32
  6. Step 6: Final answer
    x = 116,352.38

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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.