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Finding the Fourth Proportional to 229,203.50, 343,943.50 and 97,875.50

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Solution

The fourth proportional to 229,203.50, 343,943.50 and 97,875.50 is: 146,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,203.50 : 343,943.50 = 97,875.50 : x
  2. Step 2: Convert to fraction form
    229,203.50/343,943.50 = 97,875.50/x
  3. Step 3: Cross multiply
    229,203.50x = 343,943.50 × 97,875.50
  4. Step 4: Simplify right side
    229,203.50x = 33,663,642,034.25
  5. Step 5: Solve for x
    x = 33,663,642,034.25/229,203.50
  6. Step 6: Final answer
    x = 146,872.29

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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.