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Finding the Fourth Proportional to 110,151.54, 165,228.93 and 31,265.91

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Solution

The fourth proportional to 110,151.54, 165,228.93 and 31,265.91 is: 46,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,151.54 : 165,228.93 = 31,265.91 : x
  2. Step 2: Convert to fraction form
    110,151.54/165,228.93 = 31,265.91/x
  3. Step 3: Cross multiply
    110,151.54x = 165,228.93 × 31,265.91
  4. Step 4: Simplify right side
    110,151.54x = 5,166,032,854.78
  5. Step 5: Solve for x
    x = 5,166,032,854.78/110,151.54
  6. Step 6: Final answer
    x = 46,899.32

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1.5x scale

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.