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Finding the Fourth Proportional to 255,176.29, 382,819.79 and 77,678.70

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Solution

The fourth proportional to 255,176.29, 382,819.79 and 77,678.70 is: 116,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,176.29 : 382,819.79 = 77,678.70 : x
  2. Step 2: Convert to fraction form
    255,176.29/382,819.79 = 77,678.70/x
  3. Step 3: Cross multiply
    255,176.29x = 382,819.79 × 77,678.70
  4. Step 4: Simplify right side
    255,176.29x = 29,736,943,621.47
  5. Step 5: Solve for x
    x = 29,736,943,621.47/255,176.29
  6. Step 6: Final answer
    x = 116,534.90

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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.