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Finding the Fourth Proportional to 237,970.50, 356,970.33 and 71,758.50

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Solution

The fourth proportional to 237,970.50, 356,970.33 and 71,758.50 is: 107,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,970.50 : 356,970.33 = 71,758.50 : x
  2. Step 2: Convert to fraction form
    237,970.50/356,970.33 = 71,758.50/x
  3. Step 3: Cross multiply
    237,970.50x = 356,970.33 × 71,758.50
  4. Step 4: Simplify right side
    237,970.50x = 25,615,655,425.31
  5. Step 5: Solve for x
    x = 25,615,655,425.31/237,970.50
  6. Step 6: Final answer
    x = 107,642.15

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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.