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Finding the Fourth Proportional to 132,506.11, 198,822.93 and 65,952.05

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Solution

The fourth proportional to 132,506.11, 198,822.93 and 65,952.05 is: 98,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,506.11 : 198,822.93 = 65,952.05 : x
  2. Step 2: Convert to fraction form
    132,506.11/198,822.93 = 65,952.05/x
  3. Step 3: Cross multiply
    132,506.11x = 198,822.93 × 65,952.05
  4. Step 4: Simplify right side
    132,506.11x = 13,112,779,490.75
  5. Step 5: Solve for x
    x = 13,112,779,490.75/132,506.11
  6. Step 6: Final answer
    x = 98,959.81

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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.