Home / 165,946-229,022.76-102,282.16

Finding the Fourth Proportional to 165,946, 229,022.76 and 102,282.16

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Solution

The fourth proportional to 165,946, 229,022.76 and 102,282.16 is: 141,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,946 : 229,022.76 = 102,282.16 : x
  2. Step 2: Convert to fraction form
    165,946/229,022.76 = 102,282.16/x
  3. Step 3: Cross multiply
    165,946x = 229,022.76 × 102,282.16
  4. Step 4: Simplify right side
    165,946x = 23,424,942,581.96
  5. Step 5: Solve for x
    x = 23,424,942,581.96/165,946
  6. Step 6: Final answer
    x = 141,160.03

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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.