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Finding the Fourth Proportional to 253,264.32, 349,573.86 and 157,714.56

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Solution

The fourth proportional to 253,264.32, 349,573.86 and 157,714.56 is: 217,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,264.32 : 349,573.86 = 157,714.56 : x
  2. Step 2: Convert to fraction form
    253,264.32/349,573.86 = 157,714.56/x
  3. Step 3: Cross multiply
    253,264.32x = 349,573.86 × 157,714.56
  4. Step 4: Simplify right side
    253,264.32x = 55,132,887,517.40
  5. Step 5: Solve for x
    x = 55,132,887,517.40/253,264.32
  6. Step 6: Final answer
    x = 217,689.12

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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.