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Finding the Fourth Proportional to 131,315.42, 181,214.16 and 74,729.90

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Solution

The fourth proportional to 131,315.42, 181,214.16 and 74,729.90 is: 103,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,315.42 : 181,214.16 = 74,729.90 : x
  2. Step 2: Convert to fraction form
    131,315.42/181,214.16 = 74,729.90/x
  3. Step 3: Cross multiply
    131,315.42x = 181,214.16 × 74,729.90
  4. Step 4: Simplify right side
    131,315.42x = 13,542,116,055.38
  5. Step 5: Solve for x
    x = 13,542,116,055.38/131,315.42
  6. Step 6: Final answer
    x = 103,126.62

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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.