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Finding the Fourth Proportional to 230,077.16, 344,955.62 and 101,923.84

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Solution

The fourth proportional to 230,077.16, 344,955.62 and 101,923.84 is: 152,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,077.16 : 344,955.62 = 101,923.84 : x
  2. Step 2: Convert to fraction form
    230,077.16/344,955.62 = 101,923.84/x
  3. Step 3: Cross multiply
    230,077.16x = 344,955.62 × 101,923.84
  4. Step 4: Simplify right side
    230,077.16x = 35,159,201,419.98
  5. Step 5: Solve for x
    x = 35,159,201,419.98/230,077.16
  6. Step 6: Final answer
    x = 152,814.83

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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.