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Finding the Fourth Proportional to 195,409.20, 293,113.80 and 167,415.60

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Solution

The fourth proportional to 195,409.20, 293,113.80 and 167,415.60 is: 251,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,409.20 : 293,113.80 = 167,415.60 : x
  2. Step 2: Convert to fraction form
    195,409.20/293,113.80 = 167,415.60/x
  3. Step 3: Cross multiply
    195,409.20x = 293,113.80 × 167,415.60
  4. Step 4: Simplify right side
    195,409.20x = 49,071,822,695.28
  5. Step 5: Solve for x
    x = 49,071,822,695.28/195,409.20
  6. Step 6: Final answer
    x = 251,123.40

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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.