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Finding the Fourth Proportional to 132,881.31, 199,315.08 and 73,024.74

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Solution

The fourth proportional to 132,881.31, 199,315.08 and 73,024.74 is: 109,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,881.31 : 199,315.08 = 73,024.74 : x
  2. Step 2: Convert to fraction form
    132,881.31/199,315.08 = 73,024.74/x
  3. Step 3: Cross multiply
    132,881.31x = 199,315.08 × 73,024.74
  4. Step 4: Simplify right side
    132,881.31x = 14,554,931,895.08
  5. Step 5: Solve for x
    x = 14,554,931,895.08/132,881.31
  6. Step 6: Final answer
    x = 109,533.33

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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.