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Finding the Fourth Proportional to 213,950.93, 295,256.78 and 117,158.85

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Solution

The fourth proportional to 213,950.93, 295,256.78 and 117,158.85 is: 161,681.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,950.93 : 295,256.78 = 117,158.85 : x
  2. Step 2: Convert to fraction form
    213,950.93/295,256.78 = 117,158.85/x
  3. Step 3: Cross multiply
    213,950.93x = 295,256.78 × 117,158.85
  4. Step 4: Simplify right side
    213,950.93x = 34,591,944,213.71
  5. Step 5: Solve for x
    x = 34,591,944,213.71/213,950.93
  6. Step 6: Final answer
    x = 161,681.68

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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.