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Finding the Fourth Proportional to 230,973.48, 346,496.70 and 97,854.60

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Solution

The fourth proportional to 230,973.48, 346,496.70 and 97,854.60 is: 146,797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,973.48 : 346,496.70 = 97,854.60 : x
  2. Step 2: Convert to fraction form
    230,973.48/346,496.70 = 97,854.60/x
  3. Step 3: Cross multiply
    230,973.48x = 346,496.70 × 97,854.60
  4. Step 4: Simplify right side
    230,973.48x = 33,906,295,979.82
  5. Step 5: Solve for x
    x = 33,906,295,979.82/230,973.48
  6. Step 6: Final answer
    x = 146,797.36

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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.