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Finding the Fourth Proportional to 224,872.30, 310,293.80 and 144,408.82

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Solution

The fourth proportional to 224,872.30, 310,293.80 and 144,408.82 is: 199,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,872.30 : 310,293.80 = 144,408.82 : x
  2. Step 2: Convert to fraction form
    224,872.30/310,293.80 = 144,408.82/x
  3. Step 3: Cross multiply
    224,872.30x = 310,293.80 × 144,408.82
  4. Step 4: Simplify right side
    224,872.30x = 44,809,159,625.67
  5. Step 5: Solve for x
    x = 44,809,159,625.67/224,872.30
  6. Step 6: Final answer
    x = 199,264.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.