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Finding the Fourth Proportional to 230,066.16, 344,939.13 and 101,912.85

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Solution

The fourth proportional to 230,066.16, 344,939.13 and 101,912.85 is: 152,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,066.16 : 344,939.13 = 101,912.85 : x
  2. Step 2: Convert to fraction form
    230,066.16/344,939.13 = 101,912.85/x
  3. Step 3: Cross multiply
    230,066.16x = 344,939.13 × 101,912.85
  4. Step 4: Simplify right side
    230,066.16x = 35,153,729,814.82
  5. Step 5: Solve for x
    x = 35,153,729,814.82/230,066.16
  6. Step 6: Final answer
    x = 152,798.35

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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.