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Finding the Fourth Proportional to 310,905.10, 466,012.05 and 133,381.90

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Solution

The fourth proportional to 310,905.10, 466,012.05 and 133,381.90 is: 199,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,905.10 : 466,012.05 = 133,381.90 : x
  2. Step 2: Convert to fraction form
    310,905.10/466,012.05 = 133,381.90/x
  3. Step 3: Cross multiply
    310,905.10x = 466,012.05 × 133,381.90
  4. Step 4: Simplify right side
    310,905.10x = 62,157,572,651.90
  5. Step 5: Solve for x
    x = 62,157,572,651.90/310,905.10
  6. Step 6: Final answer
    x = 199,924.58

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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.