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Finding the Fourth Proportional to 105,178.93, 157,825.80 and 60,892.18

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Solution

The fourth proportional to 105,178.93, 157,825.80 and 60,892.18 is: 91,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,178.93 : 157,825.80 = 60,892.18 : x
  2. Step 2: Convert to fraction form
    105,178.93/157,825.80 = 60,892.18/x
  3. Step 3: Cross multiply
    105,178.93x = 157,825.80 × 60,892.18
  4. Step 4: Simplify right side
    105,178.93x = 9,610,357,328.45
  5. Step 5: Solve for x
    x = 9,610,357,328.45/105,178.93
  6. Step 6: Final answer
    x = 91,371.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.