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Finding the Fourth Proportional to 107,266.95, 149,976.90 and 107,266.95

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Solution

The fourth proportional to 107,266.95, 149,976.90 and 107,266.95 is: 149,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,266.95 : 149,976.90 = 107,266.95 : x
  2. Step 2: Convert to fraction form
    107,266.95/149,976.90 = 107,266.95/x
  3. Step 3: Cross multiply
    107,266.95x = 149,976.90 × 107,266.95
  4. Step 4: Simplify right side
    107,266.95x = 16,087,564,633.46
  5. Step 5: Solve for x
    x = 16,087,564,633.46/107,266.95
  6. Step 6: Final answer
    x = 149,976.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.