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Finding the Fourth Proportional to 140,773.47, 194,267.47 and 77,112.33

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Solution

The fourth proportional to 140,773.47, 194,267.47 and 77,112.33 is: 106,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,773.47 : 194,267.47 = 77,112.33 : x
  2. Step 2: Convert to fraction form
    140,773.47/194,267.47 = 77,112.33/x
  3. Step 3: Cross multiply
    140,773.47x = 194,267.47 × 77,112.33
  4. Step 4: Simplify right side
    140,773.47x = 14,980,417,254.91
  5. Step 5: Solve for x
    x = 14,980,417,254.91/140,773.47
  6. Step 6: Final answer
    x = 106,415.06

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1.5x scale

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.