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Finding the Fourth Proportional to 233,265.64, 321,903.78 and 132,663.40

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Solution

The fourth proportional to 233,265.64, 321,903.78 and 132,663.40 is: 183,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265.64 : 321,903.78 = 132,663.40 : x
  2. Step 2: Convert to fraction form
    233,265.64/321,903.78 = 132,663.40/x
  3. Step 3: Cross multiply
    233,265.64x = 321,903.78 × 132,663.40
  4. Step 4: Simplify right side
    233,265.64x = 42,704,849,927.65
  5. Step 5: Solve for x
    x = 42,704,849,927.65/233,265.64
  6. Step 6: Final answer
    x = 183,073.90

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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.