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Finding the Fourth Proportional to 211,969.86, 292,524.93 and 116,479.50

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Solution

The fourth proportional to 211,969.86, 292,524.93 and 116,479.50 is: 160,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,969.86 : 292,524.93 = 116,479.50 : x
  2. Step 2: Convert to fraction form
    211,969.86/292,524.93 = 116,479.50/x
  3. Step 3: Cross multiply
    211,969.86x = 292,524.93 × 116,479.50
  4. Step 4: Simplify right side
    211,969.86x = 34,073,157,583.94
  5. Step 5: Solve for x
    x = 34,073,157,583.94/211,969.86
  6. Step 6: Final answer
    x = 160,745.29

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1.5x scale

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.