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Finding the Fourth Proportional to 302,066.48, 416,837.48 and 166,106.16

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Solution

The fourth proportional to 302,066.48, 416,837.48 and 166,106.16 is: 229,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,066.48 : 416,837.48 = 166,106.16 : x
  2. Step 2: Convert to fraction form
    302,066.48/416,837.48 = 166,106.16/x
  3. Step 3: Cross multiply
    302,066.48x = 416,837.48 × 166,106.16
  4. Step 4: Simplify right side
    302,066.48x = 69,239,273,146.88
  5. Step 5: Solve for x
    x = 69,239,273,146.88/302,066.48
  6. Step 6: Final answer
    x = 229,218.66

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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.