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Finding the Fourth Proportional to 159,052.66, 219,543.75 and 101,846.00

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Solution

The fourth proportional to 159,052.66, 219,543.75 and 101,846.00 is: 140,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,052.66 : 219,543.75 = 101,846.00 : x
  2. Step 2: Convert to fraction form
    159,052.66/219,543.75 = 101,846.00/x
  3. Step 3: Cross multiply
    159,052.66x = 219,543.75 × 101,846.00
  4. Step 4: Simplify right side
    159,052.66x = 22,359,653,311.36
  5. Step 5: Solve for x
    x = 22,359,653,311.36/159,052.66
  6. Step 6: Final answer
    x = 140,580.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.