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Finding the Fourth Proportional to 232,058.70, 348,112.34 and 98,953.02

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Solution

The fourth proportional to 232,058.70, 348,112.34 and 98,953.02 is: 148,439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,058.70 : 348,112.34 = 98,953.02 : x
  2. Step 2: Convert to fraction form
    232,058.70/348,112.34 = 98,953.02/x
  3. Step 3: Cross multiply
    232,058.70x = 348,112.34 × 98,953.02
  4. Step 4: Simplify right side
    232,058.70x = 34,446,767,342.27
  5. Step 5: Solve for x
    x = 34,446,767,342.27/232,058.70
  6. Step 6: Final answer
    x = 148,439.89

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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.