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Finding the Fourth Proportional to 354,915.36, 532,449.59 and 102,194.15

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Solution

The fourth proportional to 354,915.36, 532,449.59 and 102,194.15 is: 153,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,915.36 : 532,449.59 = 102,194.15 : x
  2. Step 2: Convert to fraction form
    354,915.36/532,449.59 = 102,194.15/x
  3. Step 3: Cross multiply
    354,915.36x = 532,449.59 × 102,194.15
  4. Step 4: Simplify right side
    354,915.36x = 54,413,230,094.68
  5. Step 5: Solve for x
    x = 54,413,230,094.68/354,915.36
  6. Step 6: Final answer
    x = 153,313.26

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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.