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Finding the Fourth Proportional to 219,046.56, 302,283.84 and 118,444.80

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Solution

The fourth proportional to 219,046.56, 302,283.84 and 118,444.80 is: 163,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,046.56 : 302,283.84 = 118,444.80 : x
  2. Step 2: Convert to fraction form
    219,046.56/302,283.84 = 118,444.80/x
  3. Step 3: Cross multiply
    219,046.56x = 302,283.84 × 118,444.80
  4. Step 4: Simplify right side
    219,046.56x = 35,803,948,972.03
  5. Step 5: Solve for x
    x = 35,803,948,972.03/219,046.56
  6. Step 6: Final answer
    x = 163,453.60

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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.