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Finding the Fourth Proportional to 255,885.59, 353,007.95 and 148,393.32

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Solution

The fourth proportional to 255,885.59, 353,007.95 and 148,393.32 is: 204,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,885.59 : 353,007.95 = 148,393.32 : x
  2. Step 2: Convert to fraction form
    255,885.59/353,007.95 = 148,393.32/x
  3. Step 3: Cross multiply
    255,885.59x = 353,007.95 × 148,393.32
  4. Step 4: Simplify right side
    255,885.59x = 52,384,020,944.93
  5. Step 5: Solve for x
    x = 52,384,020,944.93/255,885.59
  6. Step 6: Final answer
    x = 204,716.58

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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.