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Finding the Fourth Proportional to 292,014.92, 402,886.14 and 162,932.48

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Solution

The fourth proportional to 292,014.92, 402,886.14 and 162,932.48 is: 224,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,014.92 : 402,886.14 = 162,932.48 : x
  2. Step 2: Convert to fraction form
    292,014.92/402,886.14 = 162,932.48/x
  3. Step 3: Cross multiply
    292,014.92x = 402,886.14 × 162,932.48
  4. Step 4: Simplify right side
    292,014.92x = 65,643,237,947.83
  5. Step 5: Solve for x
    x = 65,643,237,947.83/292,014.92
  6. Step 6: Final answer
    x = 224,794.12

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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.