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Finding the Fourth Proportional to 164,041.24, 245,974.34 and 84,959.32

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Solution

The fourth proportional to 164,041.24, 245,974.34 and 84,959.32 is: 127,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,041.24 : 245,974.34 = 84,959.32 : x
  2. Step 2: Convert to fraction form
    164,041.24/245,974.34 = 84,959.32/x
  3. Step 3: Cross multiply
    164,041.24x = 245,974.34 × 84,959.32
  4. Step 4: Simplify right side
    164,041.24x = 20,897,812,663.85
  5. Step 5: Solve for x
    x = 20,897,812,663.85/164,041.24
  6. Step 6: Final answer
    x = 127,393.65

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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.