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Finding the Fourth Proportional to 121,437.16, 182,164.38 and 38,329

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Solution

The fourth proportional to 121,437.16, 182,164.38 and 38,329 is: 57,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,437.16 : 182,164.38 = 38,329 : x
  2. Step 2: Convert to fraction form
    121,437.16/182,164.38 = 38,329/x
  3. Step 3: Cross multiply
    121,437.16x = 182,164.38 × 38,329
  4. Step 4: Simplify right side
    121,437.16x = 6,982,178,521.02
  5. Step 5: Solve for x
    x = 6,982,178,521.02/121,437.16
  6. Step 6: Final answer
    x = 57,496.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.