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Finding the Fourth Proportional to 177,242.94, 265,714.97 and 77,329.85

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Solution

The fourth proportional to 177,242.94, 265,714.97 and 77,329.85 is: 115,929.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,242.94 : 265,714.97 = 77,329.85 : x
  2. Step 2: Convert to fraction form
    177,242.94/265,714.97 = 77,329.85/x
  3. Step 3: Cross multiply
    177,242.94x = 265,714.97 × 77,329.85
  4. Step 4: Simplify right side
    177,242.94x = 20,547,697,057.63
  5. Step 5: Solve for x
    x = 20,547,697,057.63/177,242.94
  6. Step 6: Final answer
    x = 115,929.57

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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.