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Finding the Fourth Proportional to 239,905.31, 359,859.14 and 97,752

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Solution

The fourth proportional to 239,905.31, 359,859.14 and 97,752 is: 146,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,905.31 : 359,859.14 = 97,752 : x
  2. Step 2: Convert to fraction form
    239,905.31/359,859.14 = 97,752/x
  3. Step 3: Cross multiply
    239,905.31x = 359,859.14 × 97,752
  4. Step 4: Simplify right side
    239,905.31x = 35,176,950,653.28
  5. Step 5: Solve for x
    x = 35,176,950,653.28/239,905.31
  6. Step 6: Final answer
    x = 146,628.48

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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.