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Finding the Fourth Proportional to 161,407.20, 242,024.40 and 67,807.20

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Solution

The fourth proportional to 161,407.20, 242,024.40 and 67,807.20 is: 101,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,407.20 : 242,024.40 = 67,807.20 : x
  2. Step 2: Convert to fraction form
    161,407.20/242,024.40 = 67,807.20/x
  3. Step 3: Cross multiply
    161,407.20x = 242,024.40 × 67,807.20
  4. Step 4: Simplify right side
    161,407.20x = 16,410,996,895.68
  5. Step 5: Solve for x
    x = 16,410,996,895.68/161,407.20
  6. Step 6: Final answer
    x = 101,674.50

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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.