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Finding the Fourth Proportional to 157,142.84, 216,605.36 and 106,139.57

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Solution

The fourth proportional to 157,142.84, 216,605.36 and 106,139.57 is: 146,302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,142.84 : 216,605.36 = 106,139.57 : x
  2. Step 2: Convert to fraction form
    157,142.84/216,605.36 = 106,139.57/x
  3. Step 3: Cross multiply
    157,142.84x = 216,605.36 × 106,139.57
  4. Step 4: Simplify right side
    157,142.84x = 22,990,399,239.40
  5. Step 5: Solve for x
    x = 22,990,399,239.40/157,142.84
  6. Step 6: Final answer
    x = 146,302.56

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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.