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Finding the Fourth Proportional to 167,141.16, 250,754.97 and 97,878.17

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Solution

The fourth proportional to 167,141.16, 250,754.97 and 97,878.17 is: 146,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,141.16 : 250,754.97 = 97,878.17 : x
  2. Step 2: Convert to fraction form
    167,141.16/250,754.97 = 97,878.17/x
  3. Step 3: Cross multiply
    167,141.16x = 250,754.97 × 97,878.17
  4. Step 4: Simplify right side
    167,141.16x = 24,543,437,582.00
  5. Step 5: Solve for x
    x = 24,543,437,582.00/167,141.16
  6. Step 6: Final answer
    x = 146,842.57

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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.