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Finding the Fourth Proportional to 159,463.40, 239,195.10 and 48,655.40

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Solution

The fourth proportional to 159,463.40, 239,195.10 and 48,655.40 is: 72,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,463.40 : 239,195.10 = 48,655.40 : x
  2. Step 2: Convert to fraction form
    159,463.40/239,195.10 = 48,655.40/x
  3. Step 3: Cross multiply
    159,463.40x = 239,195.10 × 48,655.40
  4. Step 4: Simplify right side
    159,463.40x = 11,638,133,268.54
  5. Step 5: Solve for x
    x = 11,638,133,268.54/159,463.40
  6. Step 6: Final answer
    x = 72,983.10

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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.