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Finding the Fourth Proportional to 230,976, 346,602.24 and 99,648

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Solution

The fourth proportional to 230,976, 346,602.24 and 99,648 is: 149,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,976 : 346,602.24 = 99,648 : x
  2. Step 2: Convert to fraction form
    230,976/346,602.24 = 99,648/x
  3. Step 3: Cross multiply
    230,976x = 346,602.24 × 99,648
  4. Step 4: Simplify right side
    230,976x = 34,538,220,011.52
  5. Step 5: Solve for x
    x = 34,538,220,011.52/230,976
  6. Step 6: Final answer
    x = 149,531.64

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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.