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Finding the Fourth Proportional to 177,212.80, 265,381.80 and 117,726.40

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Solution

The fourth proportional to 177,212.80, 265,381.80 and 117,726.40 is: 176,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,212.80 : 265,381.80 = 117,726.40 : x
  2. Step 2: Convert to fraction form
    177,212.80/265,381.80 = 117,726.40/x
  3. Step 3: Cross multiply
    177,212.80x = 265,381.80 × 117,726.40
  4. Step 4: Simplify right side
    177,212.80x = 31,242,443,939.52
  5. Step 5: Solve for x
    x = 31,242,443,939.52/177,212.80
  6. Step 6: Final answer
    x = 176,299.03

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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.