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Finding the Fourth Proportional to 292,275.80, 403,300.14 and 163,198.52

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Solution

The fourth proportional to 292,275.80, 403,300.14 and 163,198.52 is: 225,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,275.80 : 403,300.14 = 163,198.52 : x
  2. Step 2: Convert to fraction form
    292,275.80/403,300.14 = 163,198.52/x
  3. Step 3: Cross multiply
    292,275.80x = 403,300.14 × 163,198.52
  4. Step 4: Simplify right side
    292,275.80x = 65,817,985,963.79
  5. Step 5: Solve for x
    x = 65,817,985,963.79/292,275.80
  6. Step 6: Final answer
    x = 225,191.36

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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.