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Finding the Fourth Proportional to 143,811.47, 198,460.51 and 83,417.87

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Solution

The fourth proportional to 143,811.47, 198,460.51 and 83,417.87 is: 115,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,811.47 : 198,460.51 = 83,417.87 : x
  2. Step 2: Convert to fraction form
    143,811.47/198,460.51 = 83,417.87/x
  3. Step 3: Cross multiply
    143,811.47x = 198,460.51 × 83,417.87
  4. Step 4: Simplify right side
    143,811.47x = 16,555,153,310.92
  5. Step 5: Solve for x
    x = 16,555,153,310.92/143,811.47
  6. Step 6: Final answer
    x = 115,117.06

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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.