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Finding the Fourth Proportional to 230,776.65, 318,471.93 and 127,410.93

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Solution

The fourth proportional to 230,776.65, 318,471.93 and 127,410.93 is: 175,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,776.65 : 318,471.93 = 127,410.93 : x
  2. Step 2: Convert to fraction form
    230,776.65/318,471.93 = 127,410.93/x
  3. Step 3: Cross multiply
    230,776.65x = 318,471.93 × 127,410.93
  4. Step 4: Simplify right side
    230,776.65x = 40,576,804,780.19
  5. Step 5: Solve for x
    x = 40,576,804,780.19/230,776.65
  6. Step 6: Final answer
    x = 175,827.17

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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.