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Finding the Fourth Proportional to 177,241.69, 265,713.09 and 77,328.60

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Solution

The fourth proportional to 177,241.69, 265,713.09 and 77,328.60 is: 115,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,241.69 : 265,713.09 = 77,328.60 : x
  2. Step 2: Convert to fraction form
    177,241.69/265,713.09 = 77,328.60/x
  3. Step 3: Cross multiply
    177,241.69x = 265,713.09 × 77,328.60
  4. Step 4: Simplify right side
    177,241.69x = 20,547,221,251.37
  5. Step 5: Solve for x
    x = 20,547,221,251.37/177,241.69
  6. Step 6: Final answer
    x = 115,927.70

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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.