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Finding the Fourth Proportional to 72,102.40, 108,283.20 and 52,403.20

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Solution

The fourth proportional to 72,102.40, 108,283.20 and 52,403.20 is: 78,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,102.40 : 108,283.20 = 52,403.20 : x
  2. Step 2: Convert to fraction form
    72,102.40/108,283.20 = 52,403.20/x
  3. Step 3: Cross multiply
    72,102.40x = 108,283.20 × 52,403.20
  4. Step 4: Simplify right side
    72,102.40x = 5,674,386,186.24
  5. Step 5: Solve for x
    x = 5,674,386,186.24/72,102.40
  6. Step 6: Final answer
    x = 78,698.99

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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.