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Finding the Fourth Proportional to 357,155.23, 535,814.66 and 154,785.32

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Solution

The fourth proportional to 357,155.23, 535,814.66 and 154,785.32 is: 232,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,155.23 : 535,814.66 = 154,785.32 : x
  2. Step 2: Convert to fraction form
    357,155.23/535,814.66 = 154,785.32/x
  3. Step 3: Cross multiply
    357,155.23x = 535,814.66 × 154,785.32
  4. Step 4: Simplify right side
    357,155.23x = 82,936,245,310.20
  5. Step 5: Solve for x
    x = 82,936,245,310.20/357,155.23
  6. Step 6: Final answer
    x = 232,213.44

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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.