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Finding the Fourth Proportional to 262,642.95, 362,448.77 and 149,465.70

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Solution

The fourth proportional to 262,642.95, 362,448.77 and 149,465.70 is: 206,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,642.95 : 362,448.77 = 149,465.70 : x
  2. Step 2: Convert to fraction form
    262,642.95/362,448.77 = 149,465.70/x
  3. Step 3: Cross multiply
    262,642.95x = 362,448.77 × 149,465.70
  4. Step 4: Simplify right side
    262,642.95x = 54,173,658,374.86
  5. Step 5: Solve for x
    x = 54,173,658,374.86/262,642.95
  6. Step 6: Final answer
    x = 206,263.52

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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.