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Finding the Fourth Proportional to 177,600, 266,482.68 and 77,747.04

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Solution

The fourth proportional to 177,600, 266,482.68 and 77,747.04 is: 116,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,600 : 266,482.68 = 77,747.04 : x
  2. Step 2: Convert to fraction form
    177,600/266,482.68 = 77,747.04/x
  3. Step 3: Cross multiply
    177,600x = 266,482.68 × 77,747.04
  4. Step 4: Simplify right side
    177,600x = 20,718,239,581.27
  5. Step 5: Solve for x
    x = 20,718,239,581.27/177,600
  6. Step 6: Final answer
    x = 116,656.75

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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.