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Finding the Fourth Proportional to 145,108.80, 217,663.20 and 120,225.60

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Solution

The fourth proportional to 145,108.80, 217,663.20 and 120,225.60 is: 180,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,108.80 : 217,663.20 = 120,225.60 : x
  2. Step 2: Convert to fraction form
    145,108.80/217,663.20 = 120,225.60/x
  3. Step 3: Cross multiply
    145,108.80x = 217,663.20 × 120,225.60
  4. Step 4: Simplify right side
    145,108.80x = 26,168,688,817.92
  5. Step 5: Solve for x
    x = 26,168,688,817.92/145,108.80
  6. Step 6: Final answer
    x = 180,338.40

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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.