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Finding the Fourth Proportional to 130,193.72, 179,658.82 and 72,823.10

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Solution

The fourth proportional to 130,193.72, 179,658.82 and 72,823.10 is: 100,491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,193.72 : 179,658.82 = 72,823.10 : x
  2. Step 2: Convert to fraction form
    130,193.72/179,658.82 = 72,823.10/x
  3. Step 3: Cross multiply
    130,193.72x = 179,658.82 × 72,823.10
  4. Step 4: Simplify right side
    130,193.72x = 13,083,312,214.74
  5. Step 5: Solve for x
    x = 13,083,312,214.74/130,193.72
  6. Step 6: Final answer
    x = 100,491.12

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