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Finding the Fourth Proportional to 105,471.97, 145,547.69 and 60,164.62

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Solution

The fourth proportional to 105,471.97, 145,547.69 and 60,164.62 is: 83,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,471.97 : 145,547.69 = 60,164.62 : x
  2. Step 2: Convert to fraction form
    105,471.97/145,547.69 = 60,164.62/x
  3. Step 3: Cross multiply
    105,471.97x = 145,547.69 × 60,164.62
  4. Step 4: Simplify right side
    105,471.97x = 8,756,821,614.74
  5. Step 5: Solve for x
    x = 8,756,821,614.74/105,471.97
  6. Step 6: Final answer
    x = 83,025.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.