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Finding the Fourth Proportional to 230,904.09, 318,644.55 and 128,931.24

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Solution

The fourth proportional to 230,904.09, 318,644.55 and 128,931.24 is: 177,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,904.09 : 318,644.55 = 128,931.24 : x
  2. Step 2: Convert to fraction form
    230,904.09/318,644.55 = 128,931.24/x
  3. Step 3: Cross multiply
    230,904.09x = 318,644.55 × 128,931.24
  4. Step 4: Simplify right side
    230,904.09x = 41,083,236,950.74
  5. Step 5: Solve for x
    x = 41,083,236,950.74/230,904.09
  6. Step 6: Final answer
    x = 177,923.38

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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.