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Finding the Fourth Proportional to 302,110.89, 416,904.70 and 166,144.82

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Solution

The fourth proportional to 302,110.89, 416,904.70 and 166,144.82 is: 229,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,110.89 : 416,904.70 = 166,144.82 : x
  2. Step 2: Convert to fraction form
    302,110.89/416,904.70 = 166,144.82/x
  3. Step 3: Cross multiply
    302,110.89x = 416,904.70 × 166,144.82
  4. Step 4: Simplify right side
    302,110.89x = 69,266,554,465.67
  5. Step 5: Solve for x
    x = 69,266,554,465.67/302,110.89
  6. Step 6: Final answer
    x = 229,275.27

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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.