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Finding the Fourth Proportional to 255,221.96, 382,803.77 and 68,248.04

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Solution

The fourth proportional to 255,221.96, 382,803.77 and 68,248.04 is: 102,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,221.96 : 382,803.77 = 68,248.04 : x
  2. Step 2: Convert to fraction form
    255,221.96/382,803.77 = 68,248.04/x
  3. Step 3: Cross multiply
    255,221.96x = 382,803.77 × 68,248.04
  4. Step 4: Simplify right side
    255,221.96x = 26,125,605,263.71
  5. Step 5: Solve for x
    x = 26,125,605,263.71/255,221.96
  6. Step 6: Final answer
    x = 102,364.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.