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Finding the Fourth Proportional to 142,302.80, 213,173.40 and 72,232.40

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Solution

The fourth proportional to 142,302.80, 213,173.40 and 72,232.40 is: 108,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,302.80 : 213,173.40 = 72,232.40 : x
  2. Step 2: Convert to fraction form
    142,302.80/213,173.40 = 72,232.40/x
  3. Step 3: Cross multiply
    142,302.80x = 213,173.40 × 72,232.40
  4. Step 4: Simplify right side
    142,302.80x = 15,398,026,298.16
  5. Step 5: Solve for x
    x = 15,398,026,298.16/142,302.80
  6. Step 6: Final answer
    x = 108,206.07

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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.