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Finding the Fourth Proportional to 143,094.10, 214,572.03 and 83,948.98

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Solution

The fourth proportional to 143,094.10, 214,572.03 and 83,948.98 is: 125,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,094.10 : 214,572.03 = 83,948.98 : x
  2. Step 2: Convert to fraction form
    143,094.10/214,572.03 = 83,948.98/x
  3. Step 3: Cross multiply
    143,094.10x = 214,572.03 × 83,948.98
  4. Step 4: Simplify right side
    143,094.10x = 18,013,103,055.03
  5. Step 5: Solve for x
    x = 18,013,103,055.03/143,094.10
  6. Step 6: Final answer
    x = 125,882.92

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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.