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Finding the Fourth Proportional to 229,187.50, 343,919.49 and 97,859.50

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Solution

The fourth proportional to 229,187.50, 343,919.49 and 97,859.50 is: 146,848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,187.50 : 343,919.49 = 97,859.50 : x
  2. Step 2: Convert to fraction form
    229,187.50/343,919.49 = 97,859.50/x
  3. Step 3: Cross multiply
    229,187.50x = 343,919.49 × 97,859.50
  4. Step 4: Simplify right side
    229,187.50x = 33,655,789,331.66
  5. Step 5: Solve for x
    x = 33,655,789,331.66/229,187.50
  6. Step 6: Final answer
    x = 146,848.28

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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.