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Finding the Fourth Proportional to 141,359.61, 195,071.31 and 77,697

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Solution

The fourth proportional to 141,359.61, 195,071.31 and 77,697 is: 107,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,359.61 : 195,071.31 = 77,697 : x
  2. Step 2: Convert to fraction form
    141,359.61/195,071.31 = 77,697/x
  3. Step 3: Cross multiply
    141,359.61x = 195,071.31 × 77,697
  4. Step 4: Simplify right side
    141,359.61x = 15,156,455,573.07
  5. Step 5: Solve for x
    x = 15,156,455,573.07/141,359.61
  6. Step 6: Final answer
    x = 107,219.14

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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.