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Finding the Fourth Proportional to 186,142.95, 279,214.47 and 130,092.53

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Solution

The fourth proportional to 186,142.95, 279,214.47 and 130,092.53 is: 195,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,142.95 : 279,214.47 = 130,092.53 : x
  2. Step 2: Convert to fraction form
    186,142.95/279,214.47 = 130,092.53/x
  3. Step 3: Cross multiply
    186,142.95x = 279,214.47 × 130,092.53
  4. Step 4: Simplify right side
    186,142.95x = 36,323,715,418.84
  5. Step 5: Solve for x
    x = 36,323,715,418.84/186,142.95
  6. Step 6: Final answer
    x = 195,138.82

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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.