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Finding the Fourth Proportional to 216,104.06, 297,866.67 and 144,457.94

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Solution

The fourth proportional to 216,104.06, 297,866.67 and 144,457.94 is: 199,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,104.06 : 297,866.67 = 144,457.94 : x
  2. Step 2: Convert to fraction form
    216,104.06/297,866.67 = 144,457.94/x
  3. Step 3: Cross multiply
    216,104.06x = 297,866.67 × 144,457.94
  4. Step 4: Simplify right side
    216,104.06x = 43,029,204,053.53
  5. Step 5: Solve for x
    x = 43,029,204,053.53/216,104.06
  6. Step 6: Final answer
    x = 199,113.36

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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.