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Finding the Fourth Proportional to 78,158.71, 117,254.47 and 25,564.09

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Solution

The fourth proportional to 78,158.71, 117,254.47 and 25,564.09 is: 38,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,158.71 : 117,254.47 = 25,564.09 : x
  2. Step 2: Convert to fraction form
    78,158.71/117,254.47 = 25,564.09/x
  3. Step 3: Cross multiply
    78,158.71x = 117,254.47 × 25,564.09
  4. Step 4: Simplify right side
    78,158.71x = 2,997,503,823.98
  5. Step 5: Solve for x
    x = 2,997,503,823.98/78,158.71
  6. Step 6: Final answer
    x = 38,351.50

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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.