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Finding the Fourth Proportional to 114,152.72, 157,522.20 and 63,842

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Solution

The fourth proportional to 114,152.72, 157,522.20 and 63,842 is: 88,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,152.72 : 157,522.20 = 63,842 : x
  2. Step 2: Convert to fraction form
    114,152.72/157,522.20 = 63,842/x
  3. Step 3: Cross multiply
    114,152.72x = 157,522.20 × 63,842
  4. Step 4: Simplify right side
    114,152.72x = 10,056,532,292.40
  5. Step 5: Solve for x
    x = 10,056,532,292.40/114,152.72
  6. Step 6: Final answer
    x = 88,097.18

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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.