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Finding the Fourth Proportional to 174,235.56, 240,434.00 and 102,601.74

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Solution

The fourth proportional to 174,235.56, 240,434.00 and 102,601.74 is: 141,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,235.56 : 240,434.00 = 102,601.74 : x
  2. Step 2: Convert to fraction form
    174,235.56/240,434.00 = 102,601.74/x
  3. Step 3: Cross multiply
    174,235.56x = 240,434.00 × 102,601.74
  4. Step 4: Simplify right side
    174,235.56x = 24,668,945,887.53
  5. Step 5: Solve for x
    x = 24,668,945,887.53/174,235.56
  6. Step 6: Final answer
    x = 141,583.88

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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.