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Finding the Fourth Proportional to 145,758.40, 218,637.60 and 83,385.16

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Solution

The fourth proportional to 145,758.40, 218,637.60 and 83,385.16 is: 125,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,758.40 : 218,637.60 = 83,385.16 : x
  2. Step 2: Convert to fraction form
    145,758.40/218,637.60 = 83,385.16/x
  3. Step 3: Cross multiply
    145,758.40x = 218,637.60 × 83,385.16
  4. Step 4: Simplify right side
    145,758.40x = 18,231,131,258.02
  5. Step 5: Solve for x
    x = 18,231,131,258.02/145,758.40
  6. Step 6: Final answer
    x = 125,077.74

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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.