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Finding the Fourth Proportional to 207,365.70, 311,376.60 and 157,502.10

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Solution

The fourth proportional to 207,365.70, 311,376.60 and 157,502.10 is: 236,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,365.70 : 311,376.60 = 157,502.10 : x
  2. Step 2: Convert to fraction form
    207,365.70/311,376.60 = 157,502.10/x
  3. Step 3: Cross multiply
    207,365.70x = 311,376.60 × 157,502.10
  4. Step 4: Simplify right side
    207,365.70x = 49,042,468,390.86
  5. Step 5: Solve for x
    x = 49,042,468,390.86/207,365.70
  6. Step 6: Final answer
    x = 236,502.32

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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.