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Finding the Fourth Proportional to 305,114.16, 421,061.02 and 169,151.20

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Solution

The fourth proportional to 305,114.16, 421,061.02 and 169,151.20 is: 233,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,114.16 : 421,061.02 = 169,151.20 : x
  2. Step 2: Convert to fraction form
    305,114.16/421,061.02 = 169,151.20/x
  3. Step 3: Cross multiply
    305,114.16x = 421,061.02 × 169,151.20
  4. Step 4: Simplify right side
    305,114.16x = 71,222,976,806.22
  5. Step 5: Solve for x
    x = 71,222,976,806.22/305,114.16
  6. Step 6: Final answer
    x = 233,430.58

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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.