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Finding the Fourth Proportional to 227,852.40, 341,775.40 and 103,193.20

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Solution

The fourth proportional to 227,852.40, 341,775.40 and 103,193.20 is: 154,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,852.40 : 341,775.40 = 103,193.20 : x
  2. Step 2: Convert to fraction form
    227,852.40/341,775.40 = 103,193.20/x
  3. Step 3: Cross multiply
    227,852.40x = 341,775.40 × 103,193.20
  4. Step 4: Simplify right side
    227,852.40x = 35,268,897,207.28
  5. Step 5: Solve for x
    x = 35,268,897,207.28/227,852.40
  6. Step 6: Final answer
    x = 154,788.35

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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.