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Finding the Fourth Proportional to 302,176.16, 416,994.27 and 166,210.07

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Solution

The fourth proportional to 302,176.16, 416,994.27 and 166,210.07 is: 229,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,176.16 : 416,994.27 = 166,210.07 : x
  2. Step 2: Convert to fraction form
    302,176.16/416,994.27 = 166,210.07/x
  3. Step 3: Cross multiply
    302,176.16x = 416,994.27 × 166,210.07
  4. Step 4: Simplify right side
    302,176.16x = 69,308,644,721.33
  5. Step 5: Solve for x
    x = 69,308,644,721.33/302,176.16
  6. Step 6: Final answer
    x = 229,365.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.