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Finding the Fourth Proportional to 224,267.40, 336,498.30 and 105,877.80

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Solution

The fourth proportional to 224,267.40, 336,498.30 and 105,877.80 is: 158,862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,267.40 : 336,498.30 = 105,877.80 : x
  2. Step 2: Convert to fraction form
    224,267.40/336,498.30 = 105,877.80/x
  3. Step 3: Cross multiply
    224,267.40x = 336,498.30 × 105,877.80
  4. Step 4: Simplify right side
    224,267.40x = 35,627,699,707.74
  5. Step 5: Solve for x
    x = 35,627,699,707.74/224,267.40
  6. Step 6: Final answer
    x = 158,862.59

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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.