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Finding the Fourth Proportional to 157,241.69, 216,938.18 and 102,825.72

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Solution

The fourth proportional to 157,241.69, 216,938.18 and 102,825.72 is: 141,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,241.69 : 216,938.18 = 102,825.72 : x
  2. Step 2: Convert to fraction form
    157,241.69/216,938.18 = 102,825.72/x
  3. Step 3: Cross multiply
    157,241.69x = 216,938.18 × 102,825.72
  4. Step 4: Simplify right side
    157,241.69x = 22,306,824,811.05
  5. Step 5: Solve for x
    x = 22,306,824,811.05/157,241.69
  6. Step 6: Final answer
    x = 141,863.30

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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.