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Finding the Fourth Proportional to 259,903.44, 358,663.92 and 146,730.96

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Solution

The fourth proportional to 259,903.44, 358,663.92 and 146,730.96 is: 202,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,903.44 : 358,663.92 = 146,730.96 : x
  2. Step 2: Convert to fraction form
    259,903.44/358,663.92 = 146,730.96/x
  3. Step 3: Cross multiply
    259,903.44x = 358,663.92 × 146,730.96
  4. Step 4: Simplify right side
    259,903.44x = 52,627,101,298.96
  5. Step 5: Solve for x
    x = 52,627,101,298.96/259,903.44
  6. Step 6: Final answer
    x = 202,487.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.