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Finding the Fourth Proportional to 230,362.34, 317,925.81 and 128,397.11

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Solution

The fourth proportional to 230,362.34, 317,925.81 and 128,397.11 is: 177,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,362.34 : 317,925.81 = 128,397.11 : x
  2. Step 2: Convert to fraction form
    230,362.34/317,925.81 = 128,397.11/x
  3. Step 3: Cross multiply
    230,362.34x = 317,925.81 × 128,397.11
  4. Step 4: Simplify right side
    230,362.34x = 40,820,753,608.78
  5. Step 5: Solve for x
    x = 40,820,753,608.78/230,362.34
  6. Step 6: Final answer
    x = 177,202.38

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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.