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Finding the Fourth Proportional to 107,116.50, 160,448.70 and 85,941.90

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Solution

The fourth proportional to 107,116.50, 160,448.70 and 85,941.90 is: 128,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,116.50 : 160,448.70 = 85,941.90 : x
  2. Step 2: Convert to fraction form
    107,116.50/160,448.70 = 85,941.90/x
  3. Step 3: Cross multiply
    107,116.50x = 160,448.70 × 85,941.90
  4. Step 4: Simplify right side
    107,116.50x = 13,789,266,130.53
  5. Step 5: Solve for x
    x = 13,789,266,130.53/107,116.50
  6. Step 6: Final answer
    x = 128,731.49

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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.