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Finding the Fourth Proportional to 140,681.88, 194,140.98 and 77,019.84

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Solution

The fourth proportional to 140,681.88, 194,140.98 and 77,019.84 is: 106,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,681.88 : 194,140.98 = 77,019.84 : x
  2. Step 2: Convert to fraction form
    140,681.88/194,140.98 = 77,019.84/x
  3. Step 3: Cross multiply
    140,681.88x = 194,140.98 × 77,019.84
  4. Step 4: Simplify right side
    140,681.88x = 14,952,707,217.04
  5. Step 5: Solve for x
    x = 14,952,707,217.04/140,681.88
  6. Step 6: Final answer
    x = 106,287.37

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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.