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Finding the Fourth Proportional to 168,932.20, 233,123.46 and 97,312

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Solution

The fourth proportional to 168,932.20, 233,123.46 and 97,312 is: 134,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,932.20 : 233,123.46 = 97,312 : x
  2. Step 2: Convert to fraction form
    168,932.20/233,123.46 = 97,312/x
  3. Step 3: Cross multiply
    168,932.20x = 233,123.46 × 97,312
  4. Step 4: Simplify right side
    168,932.20x = 22,685,710,139.52
  5. Step 5: Solve for x
    x = 22,685,710,139.52/168,932.20
  6. Step 6: Final answer
    x = 134,288.85

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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.