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Finding the Fourth Proportional to 233,136.17, 321,699.15 and 147,062.66

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Solution

The fourth proportional to 233,136.17, 321,699.15 and 147,062.66 is: 202,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,136.17 : 321,699.15 = 147,062.66 : x
  2. Step 2: Convert to fraction form
    233,136.17/321,699.15 = 147,062.66/x
  3. Step 3: Cross multiply
    233,136.17x = 321,699.15 × 147,062.66
  4. Step 4: Simplify right side
    233,136.17x = 47,309,931,110.24
  5. Step 5: Solve for x
    x = 47,309,931,110.24/233,136.17
  6. Step 6: Final answer
    x = 202,928.32

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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.