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Finding the Fourth Proportional to 216,694.64, 299,033.16 and 119,902.16

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Solution

The fourth proportional to 216,694.64, 299,033.16 and 119,902.16 is: 165,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,694.64 : 299,033.16 = 119,902.16 : x
  2. Step 2: Convert to fraction form
    216,694.64/299,033.16 = 119,902.16/x
  3. Step 3: Cross multiply
    216,694.64x = 299,033.16 × 119,902.16
  4. Step 4: Simplify right side
    216,694.64x = 35,854,721,795.63
  5. Step 5: Solve for x
    x = 35,854,721,795.63/216,694.64
  6. Step 6: Final answer
    x = 165,461.97

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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.