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Finding the Fourth Proportional to 232,846.92, 348,978.40 and 99,570.76

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Solution

The fourth proportional to 232,846.92, 348,978.40 and 99,570.76 is: 149,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,846.92 : 348,978.40 = 99,570.76 : x
  2. Step 2: Convert to fraction form
    232,846.92/348,978.40 = 99,570.76/x
  3. Step 3: Cross multiply
    232,846.92x = 348,978.40 × 99,570.76
  4. Step 4: Simplify right side
    232,846.92x = 34,748,044,511.58
  5. Step 5: Solve for x
    x = 34,748,044,511.58/232,846.92
  6. Step 6: Final answer
    x = 149,231.28

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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.