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Finding the Fourth Proportional to 230,032.38, 317,437.26 and 128,054.52

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Solution

The fourth proportional to 230,032.38, 317,437.26 and 128,054.52 is: 176,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,032.38 : 317,437.26 = 128,054.52 : x
  2. Step 2: Convert to fraction form
    230,032.38/317,437.26 = 128,054.52/x
  3. Step 3: Cross multiply
    230,032.38x = 317,437.26 × 128,054.52
  4. Step 4: Simplify right side
    230,032.38x = 40,649,275,959.42
  5. Step 5: Solve for x
    x = 40,649,275,959.42/230,032.38
  6. Step 6: Final answer
    x = 176,711.10

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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.