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Finding the Fourth Proportional to 145,871.20, 218,806.80 and 83,490.40

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Solution

The fourth proportional to 145,871.20, 218,806.80 and 83,490.40 is: 125,235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,871.20 : 218,806.80 = 83,490.40 : x
  2. Step 2: Convert to fraction form
    145,871.20/218,806.80 = 83,490.40/x
  3. Step 3: Cross multiply
    145,871.20x = 218,806.80 × 83,490.40
  4. Step 4: Simplify right side
    145,871.20x = 18,268,267,254.72
  5. Step 5: Solve for x
    x = 18,268,267,254.72/145,871.20
  6. Step 6: Final answer
    x = 125,235.60

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Why These Related Problems?

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