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Finding the Fourth Proportional to 160,690.86, 240,764.94 and 97,319.79

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Solution

The fourth proportional to 160,690.86, 240,764.94 and 97,319.79 is: 145,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,690.86 : 240,764.94 = 97,319.79 : x
  2. Step 2: Convert to fraction form
    160,690.86/240,764.94 = 97,319.79/x
  3. Step 3: Cross multiply
    160,690.86x = 240,764.94 × 97,319.79
  4. Step 4: Simplify right side
    160,690.86x = 23,431,193,400.16
  5. Step 5: Solve for x
    x = 23,431,193,400.16/160,690.86
  6. Step 6: Final answer
    x = 145,815.35

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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.