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Finding the Fourth Proportional to 302,010.93, 416,775.92 and 166,058.78

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Solution

The fourth proportional to 302,010.93, 416,775.92 and 166,058.78 is: 229,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,010.93 : 416,775.92 = 166,058.78 : x
  2. Step 2: Convert to fraction form
    302,010.93/416,775.92 = 166,058.78/x
  3. Step 3: Cross multiply
    302,010.93x = 416,775.92 × 166,058.78
  4. Step 4: Simplify right side
    302,010.93x = 69,209,297,894.40
  5. Step 5: Solve for x
    x = 69,209,297,894.40/302,010.93
  6. Step 6: Final answer
    x = 229,161.57

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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.