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Finding the Fourth Proportional to 145,886.20, 218,829.30 and 83,505.40

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Solution

The fourth proportional to 145,886.20, 218,829.30 and 83,505.40 is: 125,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,886.20 : 218,829.30 = 83,505.40 : x
  2. Step 2: Convert to fraction form
    145,886.20/218,829.30 = 83,505.40/x
  3. Step 3: Cross multiply
    145,886.20x = 218,829.30 × 83,505.40
  4. Step 4: Simplify right side
    145,886.20x = 18,273,428,228.22
  5. Step 5: Solve for x
    x = 18,273,428,228.22/145,886.20
  6. Step 6: Final answer
    x = 125,258.10

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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.