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Finding the Fourth Proportional to 141,130.47, 194,758.88 and 77,464.47

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Solution

The fourth proportional to 141,130.47, 194,758.88 and 77,464.47 is: 106,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,130.47 : 194,758.88 = 77,464.47 : x
  2. Step 2: Convert to fraction form
    141,130.47/194,758.88 = 77,464.47/x
  3. Step 3: Cross multiply
    141,130.47x = 194,758.88 × 77,464.47
  4. Step 4: Simplify right side
    141,130.47x = 15,086,893,029.67
  5. Step 5: Solve for x
    x = 15,086,893,029.67/141,130.47
  6. Step 6: Final answer
    x = 106,900.32

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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.