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Finding the Fourth Proportional to 357,194.70, 535,792.07 and 167,785.83

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Solution

The fourth proportional to 357,194.70, 535,792.07 and 167,785.83 is: 251,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,194.70 : 535,792.07 = 167,785.83 : x
  2. Step 2: Convert to fraction form
    357,194.70/535,792.07 = 167,785.83/x
  3. Step 3: Cross multiply
    357,194.70x = 535,792.07 × 167,785.83
  4. Step 4: Simplify right side
    357,194.70x = 89,898,316,333.44
  5. Step 5: Solve for x
    x = 89,898,316,333.44/357,194.70
  6. Step 6: Final answer
    x = 251,678.75

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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.