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Finding the Fourth Proportional to 310,058.10, 465,087.15 and 132,583.05

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Solution

The fourth proportional to 310,058.10, 465,087.15 and 132,583.05 is: 198,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,058.10 : 465,087.15 = 132,583.05 : x
  2. Step 2: Convert to fraction form
    310,058.10/465,087.15 = 132,583.05/x
  3. Step 3: Cross multiply
    310,058.10x = 465,087.15 × 132,583.05
  4. Step 4: Simplify right side
    310,058.10x = 61,662,672,862.81
  5. Step 5: Solve for x
    x = 61,662,672,862.81/310,058.10
  6. Step 6: Final answer
    x = 198,874.58

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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.