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Finding the Fourth Proportional to 141,130.56, 194,748 and 77,468.16

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Solution

The fourth proportional to 141,130.56, 194,748 and 77,468.16 is: 106,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,130.56 : 194,748 = 77,468.16 : x
  2. Step 2: Convert to fraction form
    141,130.56/194,748 = 77,468.16/x
  3. Step 3: Cross multiply
    141,130.56x = 194,748 × 77,468.16
  4. Step 4: Simplify right side
    141,130.56x = 15,086,769,223.68
  5. Step 5: Solve for x
    x = 15,086,769,223.68/141,130.56
  6. Step 6: Final answer
    x = 106,899.38

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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.