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Finding the Fourth Proportional to 231,460.78, 347,338.80 and 98,341.04

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Solution

The fourth proportional to 231,460.78, 347,338.80 and 98,341.04 is: 147,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,460.78 : 347,338.80 = 98,341.04 : x
  2. Step 2: Convert to fraction form
    231,460.78/347,338.80 = 98,341.04/x
  3. Step 3: Cross multiply
    231,460.78x = 347,338.80 × 98,341.04
  4. Step 4: Simplify right side
    231,460.78x = 34,157,657,087.66
  5. Step 5: Solve for x
    x = 34,157,657,087.66/231,460.78
  6. Step 6: Final answer
    x = 147,574.28

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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.