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Finding the Fourth Proportional to 106,543.70, 160,053.15 and 89,047.70

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Solution

The fourth proportional to 106,543.70, 160,053.15 and 89,047.70 is: 133,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543.70 : 160,053.15 = 89,047.70 : x
  2. Step 2: Convert to fraction form
    106,543.70/160,053.15 = 89,047.70/x
  3. Step 3: Cross multiply
    106,543.70x = 160,053.15 × 89,047.70
  4. Step 4: Simplify right side
    106,543.70x = 14,252,364,885.26
  5. Step 5: Solve for x
    x = 14,252,364,885.26/106,543.70
  6. Step 6: Final answer
    x = 133,770.13

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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.