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Finding the Fourth Proportional to 160,219.02, 240,325.92 and 65,428.38

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Solution

The fourth proportional to 160,219.02, 240,325.92 and 65,428.38 is: 98,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,219.02 : 240,325.92 = 65,428.38 : x
  2. Step 2: Convert to fraction form
    160,219.02/240,325.92 = 65,428.38/x
  3. Step 3: Cross multiply
    160,219.02x = 240,325.92 × 65,428.38
  4. Step 4: Simplify right side
    160,219.02x = 15,724,135,617.61
  5. Step 5: Solve for x
    x = 15,724,135,617.61/160,219.02
  6. Step 6: Final answer
    x = 98,141.50

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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.