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Finding the Fourth Proportional to 142,444.67, 213,831.97 and 83,322.77

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Solution

The fourth proportional to 142,444.67, 213,831.97 and 83,322.77 is: 125,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,444.67 : 213,831.97 = 83,322.77 : x
  2. Step 2: Convert to fraction form
    142,444.67/213,831.97 = 83,322.77/x
  3. Step 3: Cross multiply
    142,444.67x = 213,831.97 × 83,322.77
  4. Step 4: Simplify right side
    142,444.67x = 17,817,070,777.49
  5. Step 5: Solve for x
    x = 17,817,070,777.49/142,444.67
  6. Step 6: Final answer
    x = 125,080.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.