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Finding the Fourth Proportional to 180,952.47, 271,430.46 and 68,602.50

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Solution

The fourth proportional to 180,952.47, 271,430.46 and 68,602.50 is: 102,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,952.47 : 271,430.46 = 68,602.50 : x
  2. Step 2: Convert to fraction form
    180,952.47/271,430.46 = 68,602.50/x
  3. Step 3: Cross multiply
    180,952.47x = 271,430.46 × 68,602.50
  4. Step 4: Simplify right side
    180,952.47x = 18,620,808,132.15
  5. Step 5: Solve for x
    x = 18,620,808,132.15/180,952.47
  6. Step 6: Final answer
    x = 102,904.42

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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.