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Finding the Fourth Proportional to 137,695.88, 190,034.88 and 77,282.84

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Solution

The fourth proportional to 137,695.88, 190,034.88 and 77,282.84 is: 106,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,695.88 : 190,034.88 = 77,282.84 : x
  2. Step 2: Convert to fraction form
    137,695.88/190,034.88 = 77,282.84/x
  3. Step 3: Cross multiply
    137,695.88x = 190,034.88 × 77,282.84
  4. Step 4: Simplify right side
    137,695.88x = 14,686,435,225.46
  5. Step 5: Solve for x
    x = 14,686,435,225.46/137,695.88
  6. Step 6: Final answer
    x = 106,658.49

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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.