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Finding the Fourth Proportional to 177,523.95, 266,368.25 and 77,670.97

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Solution

The fourth proportional to 177,523.95, 266,368.25 and 77,670.97 is: 116,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,523.95 : 266,368.25 = 77,670.97 : x
  2. Step 2: Convert to fraction form
    177,523.95/266,368.25 = 77,670.97/x
  3. Step 3: Cross multiply
    177,523.95x = 266,368.25 × 77,670.97
  4. Step 4: Simplify right side
    177,523.95x = 20,689,080,354.70
  5. Step 5: Solve for x
    x = 20,689,080,354.70/177,523.95
  6. Step 6: Final answer
    x = 116,542.47

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1.5x scale

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.