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Finding the Fourth Proportional to 253,612.64, 349,981.14 and 140,432.96

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Solution

The fourth proportional to 253,612.64, 349,981.14 and 140,432.96 is: 193,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,612.64 : 349,981.14 = 140,432.96 : x
  2. Step 2: Convert to fraction form
    253,612.64/349,981.14 = 140,432.96/x
  3. Step 3: Cross multiply
    253,612.64x = 349,981.14 × 140,432.96
  4. Step 4: Simplify right side
    253,612.64x = 49,148,887,434.37
  5. Step 5: Solve for x
    x = 49,148,887,434.37/253,612.64
  6. Step 6: Final answer
    x = 193,795.10

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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.