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Finding the Fourth Proportional to 107,203.78, 147,950.30 and 59,472.50

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Solution

The fourth proportional to 107,203.78, 147,950.30 and 59,472.50 is: 82,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,203.78 : 147,950.30 = 59,472.50 : x
  2. Step 2: Convert to fraction form
    107,203.78/147,950.30 = 59,472.50/x
  3. Step 3: Cross multiply
    107,203.78x = 147,950.30 × 59,472.50
  4. Step 4: Simplify right side
    107,203.78x = 8,798,974,216.75
  5. Step 5: Solve for x
    x = 8,798,974,216.75/107,203.78
  6. Step 6: Final answer
    x = 82,077.09

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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.