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Finding the Fourth Proportional to 153,081, 211,178.17 and 99,382.86

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Solution

The fourth proportional to 153,081, 211,178.17 and 99,382.86 is: 137,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,081 : 211,178.17 = 99,382.86 : x
  2. Step 2: Convert to fraction form
    153,081/211,178.17 = 99,382.86/x
  3. Step 3: Cross multiply
    153,081x = 211,178.17 × 99,382.86
  4. Step 4: Simplify right side
    153,081x = 20,987,490,504.17
  5. Step 5: Solve for x
    x = 20,987,490,504.17/153,081
  6. Step 6: Final answer
    x = 137,100.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.