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Finding the Fourth Proportional to 255,722.86, 352,894.68 and 141,011.52

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Solution

The fourth proportional to 255,722.86, 352,894.68 and 141,011.52 is: 194,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,722.86 : 352,894.68 = 141,011.52 : x
  2. Step 2: Convert to fraction form
    255,722.86/352,894.68 = 141,011.52/x
  3. Step 3: Cross multiply
    255,722.86x = 352,894.68 × 141,011.52
  4. Step 4: Simplify right side
    255,722.86x = 49,762,215,226.71
  5. Step 5: Solve for x
    x = 49,762,215,226.71/255,722.86
  6. Step 6: Final answer
    x = 194,594.32

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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.