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Finding the Fourth Proportional to 170,424, 235,095.66 and 130,067.46

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Solution

The fourth proportional to 170,424, 235,095.66 and 130,067.46 is: 179,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,424 : 235,095.66 = 130,067.46 : x
  2. Step 2: Convert to fraction form
    170,424/235,095.66 = 130,067.46/x
  3. Step 3: Cross multiply
    170,424x = 235,095.66 × 130,067.46
  4. Step 4: Simplify right side
    170,424x = 30,578,295,353.22
  5. Step 5: Solve for x
    x = 30,578,295,353.22/170,424
  6. Step 6: Final answer
    x = 179,424.82

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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.