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Finding the Fourth Proportional to 302,159, 416,988.60 and 166,185.92

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Solution

The fourth proportional to 302,159, 416,988.60 and 166,185.92 is: 229,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,159 : 416,988.60 = 166,185.92 : x
  2. Step 2: Convert to fraction form
    302,159/416,988.60 = 166,185.92/x
  3. Step 3: Cross multiply
    302,159x = 416,988.60 × 166,185.92
  4. Step 4: Simplify right side
    302,159x = 69,297,634,120.51
  5. Step 5: Solve for x
    x = 69,297,634,120.51/302,159
  6. Step 6: Final answer
    x = 229,341.62

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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.