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Finding the Fourth Proportional to 216,169.58, 298,228.29 and 144,435.98

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Solution

The fourth proportional to 216,169.58, 298,228.29 and 144,435.98 is: 199,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,169.58 : 298,228.29 = 144,435.98 : x
  2. Step 2: Convert to fraction form
    216,169.58/298,228.29 = 144,435.98/x
  3. Step 3: Cross multiply
    216,169.58x = 298,228.29 × 144,435.98
  4. Step 4: Simplify right side
    216,169.58x = 43,074,895,329.87
  5. Step 5: Solve for x
    x = 43,074,895,329.87/216,169.58
  6. Step 6: Final answer
    x = 199,264.37

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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.