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Finding the Fourth Proportional to 262,054.20, 392,822.10 and 104,071.80

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Solution

The fourth proportional to 262,054.20, 392,822.10 and 104,071.80 is: 156,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,054.20 : 392,822.10 = 104,071.80 : x
  2. Step 2: Convert to fraction form
    262,054.20/392,822.10 = 104,071.80/x
  3. Step 3: Cross multiply
    262,054.20x = 392,822.10 × 104,071.80
  4. Step 4: Simplify right side
    262,054.20x = 40,881,703,026.78
  5. Step 5: Solve for x
    x = 40,881,703,026.78/262,054.20
  6. Step 6: Final answer
    x = 156,004.76

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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.