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Finding the Fourth Proportional to 177,292.80, 265,501.80 and 117,806.40

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Solution

The fourth proportional to 177,292.80, 265,501.80 and 117,806.40 is: 176,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,292.80 : 265,501.80 = 117,806.40 : x
  2. Step 2: Convert to fraction form
    177,292.80/265,501.80 = 117,806.40/x
  3. Step 3: Cross multiply
    177,292.80x = 265,501.80 × 117,806.40
  4. Step 4: Simplify right side
    177,292.80x = 31,277,811,251.52
  5. Step 5: Solve for x
    x = 31,277,811,251.52/177,292.80
  6. Step 6: Final answer
    x = 176,418.96

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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.