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Finding the Fourth Proportional to 157,142.34, 216,604.67 and 106,139.07

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Solution

The fourth proportional to 157,142.34, 216,604.67 and 106,139.07 is: 146,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,142.34 : 216,604.67 = 106,139.07 : x
  2. Step 2: Convert to fraction form
    157,142.34/216,604.67 = 106,139.07/x
  3. Step 3: Cross multiply
    157,142.34x = 216,604.67 × 106,139.07
  4. Step 4: Simplify right side
    157,142.34x = 22,990,217,700.76
  5. Step 5: Solve for x
    x = 22,990,217,700.76/157,142.34
  6. Step 6: Final answer
    x = 146,301.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.