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Finding the Fourth Proportional to 302,042.59, 416,820.33 and 166,085.30

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Solution

The fourth proportional to 302,042.59, 416,820.33 and 166,085.30 is: 229,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,042.59 : 416,820.33 = 166,085.30 : x
  2. Step 2: Convert to fraction form
    302,042.59/416,820.33 = 166,085.30/x
  3. Step 3: Cross multiply
    302,042.59x = 416,820.33 × 166,085.30
  4. Step 4: Simplify right side
    302,042.59x = 69,227,730,596.20
  5. Step 5: Solve for x
    x = 69,227,730,596.20/302,042.59
  6. Step 6: Final answer
    x = 229,198.57

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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.