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Finding the Fourth Proportional to 302,121, 416,926.98 and 167,982.12

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Solution

The fourth proportional to 302,121, 416,926.98 and 167,982.12 is: 231,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,121 : 416,926.98 = 167,982.12 : x
  2. Step 2: Convert to fraction form
    302,121/416,926.98 = 167,982.12/x
  3. Step 3: Cross multiply
    302,121x = 416,926.98 × 167,982.12
  4. Step 4: Simplify right side
    302,121x = 70,036,277,985.60
  5. Step 5: Solve for x
    x = 70,036,277,985.60/302,121
  6. Step 6: Final answer
    x = 231,815.33

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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.