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Finding the Fourth Proportional to 310,409.88, 465,225.27 and 132,708.03

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Solution

The fourth proportional to 310,409.88, 465,225.27 and 132,708.03 is: 198,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,409.88 : 465,225.27 = 132,708.03 : x
  2. Step 2: Convert to fraction form
    310,409.88/465,225.27 = 132,708.03/x
  3. Step 3: Cross multiply
    310,409.88x = 465,225.27 × 132,708.03
  4. Step 4: Simplify right side
    310,409.88x = 61,739,129,087.92
  5. Step 5: Solve for x
    x = 61,739,129,087.92/310,409.88
  6. Step 6: Final answer
    x = 198,895.50

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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.