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Finding the Fourth Proportional to 107,102.48, 160,687.29 and 64,454.45

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Solution

The fourth proportional to 107,102.48, 160,687.29 and 64,454.45 is: 96,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,102.48 : 160,687.29 = 64,454.45 : x
  2. Step 2: Convert to fraction form
    107,102.48/160,687.29 = 64,454.45/x
  3. Step 3: Cross multiply
    107,102.48x = 160,687.29 × 64,454.45
  4. Step 4: Simplify right side
    107,102.48x = 10,357,010,095.50
  5. Step 5: Solve for x
    x = 10,357,010,095.50/107,102.48
  6. Step 6: Final answer
    x = 96,701.87

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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.