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Finding the Fourth Proportional to 233,215.94, 349,848.92 and 64,736.98

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Solution

The fourth proportional to 233,215.94, 349,848.92 and 64,736.98 is: 97,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,215.94 : 349,848.92 = 64,736.98 : x
  2. Step 2: Convert to fraction form
    233,215.94/349,848.92 = 64,736.98/x
  3. Step 3: Cross multiply
    233,215.94x = 349,848.92 × 64,736.98
  4. Step 4: Simplify right side
    233,215.94x = 22,648,162,650.69
  5. Step 5: Solve for x
    x = 22,648,162,650.69/233,215.94
  6. Step 6: Final answer
    x = 97,112.41

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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.