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Finding the Fourth Proportional to 160,705.20, 241,058.20 and 48,385.74

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Solution

The fourth proportional to 160,705.20, 241,058.20 and 48,385.74 is: 72,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,705.20 : 241,058.20 = 48,385.74 : x
  2. Step 2: Convert to fraction form
    160,705.20/241,058.20 = 48,385.74/x
  3. Step 3: Cross multiply
    160,705.20x = 241,058.20 × 48,385.74
  4. Step 4: Simplify right side
    160,705.20x = 11,663,779,390.07
  5. Step 5: Solve for x
    x = 11,663,779,390.07/160,705.20
  6. Step 6: Final answer
    x = 72,578.73

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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.