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Finding the Fourth Proportional to 255,864.69, 353,077.29 and 141,144.66

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Solution

The fourth proportional to 255,864.69, 353,077.29 and 141,144.66 is: 194,770.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,864.69 : 353,077.29 = 141,144.66 : x
  2. Step 2: Convert to fraction form
    255,864.69/353,077.29 = 141,144.66/x
  3. Step 3: Cross multiply
    255,864.69x = 353,077.29 × 141,144.66
  4. Step 4: Simplify right side
    255,864.69x = 49,834,974,050.77
  5. Step 5: Solve for x
    x = 49,834,974,050.77/255,864.69
  6. Step 6: Final answer
    x = 194,770.81

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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.