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Finding the Fourth Proportional to 105,730.71, 145,907.71 and 60,422.55

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Solution

The fourth proportional to 105,730.71, 145,907.71 and 60,422.55 is: 83,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,730.71 : 145,907.71 = 60,422.55 : x
  2. Step 2: Convert to fraction form
    105,730.71/145,907.71 = 60,422.55/x
  3. Step 3: Cross multiply
    105,730.71x = 145,907.71 × 60,422.55
  4. Step 4: Simplify right side
    105,730.71x = 8,816,115,751.80
  5. Step 5: Solve for x
    x = 8,816,115,751.80/105,730.71
  6. Step 6: Final answer
    x = 83,382.73

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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.