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Finding the Fourth Proportional to 233,136.95, 321,700.44 and 147,063.62

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Solution

The fourth proportional to 233,136.95, 321,700.44 and 147,063.62 is: 202,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,136.95 : 321,700.44 = 147,063.62 : x
  2. Step 2: Convert to fraction form
    233,136.95/321,700.44 = 147,063.62/x
  3. Step 3: Cross multiply
    233,136.95x = 321,700.44 × 147,063.62
  4. Step 4: Simplify right side
    233,136.95x = 47,310,429,653.49
  5. Step 5: Solve for x
    x = 47,310,429,653.49/233,136.95
  6. Step 6: Final answer
    x = 202,929.78

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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.