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Finding the Fourth Proportional to 219,340.49, 302,638.00 and 127,405.15

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Solution

The fourth proportional to 219,340.49, 302,638.00 and 127,405.15 is: 175,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,340.49 : 302,638.00 = 127,405.15 : x
  2. Step 2: Convert to fraction form
    219,340.49/302,638.00 = 127,405.15/x
  3. Step 3: Cross multiply
    219,340.49x = 302,638.00 × 127,405.15
  4. Step 4: Simplify right side
    219,340.49x = 38,557,638,591.02
  5. Step 5: Solve for x
    x = 38,557,638,591.02/219,340.49
  6. Step 6: Final answer
    x = 175,788.97

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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.