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Finding the Fourth Proportional to 160,038.48, 220,842 and 88,417.92

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Solution

The fourth proportional to 160,038.48, 220,842 and 88,417.92 is: 122,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,038.48 : 220,842 = 88,417.92 : x
  2. Step 2: Convert to fraction form
    160,038.48/220,842 = 88,417.92/x
  3. Step 3: Cross multiply
    160,038.48x = 220,842 × 88,417.92
  4. Step 4: Simplify right side
    160,038.48x = 19,526,390,288.64
  5. Step 5: Solve for x
    x = 19,526,390,288.64/160,038.48
  6. Step 6: Final answer
    x = 122,010.60

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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.