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Finding the Fourth Proportional to 262,782.10, 392,733.11 and 191,854.12

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Solution

The fourth proportional to 262,782.10, 392,733.11 and 191,854.12 is: 286,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,782.10 : 392,733.11 = 191,854.12 : x
  2. Step 2: Convert to fraction form
    262,782.10/392,733.11 = 191,854.12/x
  3. Step 3: Cross multiply
    262,782.10x = 392,733.11 × 191,854.12
  4. Step 4: Simplify right side
    262,782.10x = 75,347,463,250.25
  5. Step 5: Solve for x
    x = 75,347,463,250.25/262,782.10
  6. Step 6: Final answer
    x = 286,729.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.