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Finding the Fourth Proportional to 343,048.80, 473,402.16 and 192,151.20

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Solution

The fourth proportional to 343,048.80, 473,402.16 and 192,151.20 is: 265,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,048.80 : 473,402.16 = 192,151.20 : x
  2. Step 2: Convert to fraction form
    343,048.80/473,402.16 = 192,151.20/x
  3. Step 3: Cross multiply
    343,048.80x = 473,402.16 × 192,151.20
  4. Step 4: Simplify right side
    343,048.80x = 90,964,793,126.59
  5. Step 5: Solve for x
    x = 90,964,793,126.59/343,048.80
  6. Step 6: Final answer
    x = 265,165.75

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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.