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Finding the Fourth Proportional to 133,876.40, 200,826.66 and 58,978.76

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Solution

The fourth proportional to 133,876.40, 200,826.66 and 58,978.76 is: 88,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,876.40 : 200,826.66 = 58,978.76 : x
  2. Step 2: Convert to fraction form
    133,876.40/200,826.66 = 58,978.76/x
  3. Step 3: Cross multiply
    133,876.40x = 200,826.66 × 58,978.76
  4. Step 4: Simplify right side
    133,876.40x = 11,844,507,381.74
  5. Step 5: Solve for x
    x = 11,844,507,381.74/133,876.40
  6. Step 6: Final answer
    x = 88,473.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.