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Finding the Fourth Proportional to 224,857, 310,303.47 and 124,255

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Solution

The fourth proportional to 224,857, 310,303.47 and 124,255 is: 171,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,857 : 310,303.47 = 124,255 : x
  2. Step 2: Convert to fraction form
    224,857/310,303.47 = 124,255/x
  3. Step 3: Cross multiply
    224,857x = 310,303.47 × 124,255
  4. Step 4: Simplify right side
    224,857x = 38,556,757,664.85
  5. Step 5: Solve for x
    x = 38,556,757,664.85/224,857
  6. Step 6: Final answer
    x = 171,472.35

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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.