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Finding the Fourth Proportional to 231,232.50, 346,848.89 and 65,020.50

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Solution

The fourth proportional to 231,232.50, 346,848.89 and 65,020.50 is: 97,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,232.50 : 346,848.89 = 65,020.50 : x
  2. Step 2: Convert to fraction form
    231,232.50/346,848.89 = 65,020.50/x
  3. Step 3: Cross multiply
    231,232.50x = 346,848.89 × 65,020.50
  4. Step 4: Simplify right side
    231,232.50x = 22,552,287,927.14
  5. Step 5: Solve for x
    x = 22,552,287,927.14/231,232.50
  6. Step 6: Final answer
    x = 97,530.79

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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.