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Finding the Fourth Proportional to 302,108.70, 416,920.71 and 166,153.17

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Solution

The fourth proportional to 302,108.70, 416,920.71 and 166,153.17 is: 229,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,108.70 : 416,920.71 = 166,153.17 : x
  2. Step 2: Convert to fraction form
    302,108.70/416,920.71 = 166,153.17/x
  3. Step 3: Cross multiply
    302,108.70x = 416,920.71 × 166,153.17
  4. Step 4: Simplify right side
    302,108.70x = 69,272,697,605.15
  5. Step 5: Solve for x
    x = 69,272,697,605.15/302,108.70
  6. Step 6: Final answer
    x = 229,297.26

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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.