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Finding the Fourth Proportional to 310,044.06, 465,114.83 and 132,552

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Solution

The fourth proportional to 310,044.06, 465,114.83 and 132,552 is: 198,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,044.06 : 465,114.83 = 132,552 : x
  2. Step 2: Convert to fraction form
    310,044.06/465,114.83 = 132,552/x
  3. Step 3: Cross multiply
    310,044.06x = 465,114.83 × 132,552
  4. Step 4: Simplify right side
    310,044.06x = 61,651,900,283.40
  5. Step 5: Solve for x
    x = 61,651,900,283.40/310,044.06
  6. Step 6: Final answer
    x = 198,848.84

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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.