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Finding the Fourth Proportional to 291,970.23, 437,687.78 and 102,327.22

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Solution

The fourth proportional to 291,970.23, 437,687.78 and 102,327.22 is: 153,397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,970.23 : 437,687.78 = 102,327.22 : x
  2. Step 2: Convert to fraction form
    291,970.23/437,687.78 = 102,327.22/x
  3. Step 3: Cross multiply
    291,970.23x = 437,687.78 × 102,327.22
  4. Step 4: Simplify right side
    291,970.23x = 44,787,375,957.18
  5. Step 5: Solve for x
    x = 44,787,375,957.18/291,970.23
  6. Step 6: Final answer
    x = 153,397.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.