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Finding the Fourth Proportional to 255,227.42, 382,867.32 and 97,588.46

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Solution

The fourth proportional to 255,227.42, 382,867.32 and 97,588.46 is: 146,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,227.42 : 382,867.32 = 97,588.46 : x
  2. Step 2: Convert to fraction form
    255,227.42/382,867.32 = 97,588.46/x
  3. Step 3: Cross multiply
    255,227.42x = 382,867.32 × 97,588.46
  4. Step 4: Simplify right side
    255,227.42x = 37,363,432,143.13
  5. Step 5: Solve for x
    x = 37,363,432,143.13/255,227.42
  6. Step 6: Final answer
    x = 146,392.70

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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.