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Finding the Fourth Proportional to 302,164.60, 416,987.36 and 166,208.89

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Solution

The fourth proportional to 302,164.60, 416,987.36 and 166,208.89 is: 229,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,164.60 : 416,987.36 = 166,208.89 : x
  2. Step 2: Convert to fraction form
    302,164.60/416,987.36 = 166,208.89/x
  3. Step 3: Cross multiply
    302,164.60x = 416,987.36 × 166,208.89
  4. Step 4: Simplify right side
    302,164.60x = 69,307,006,249.63
  5. Step 5: Solve for x
    x = 69,307,006,249.63/302,164.60
  6. Step 6: Final answer
    x = 229,368.38

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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.