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Finding the Fourth Proportional to 157,896.81, 234,814.48 and 152,913.29

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Solution

The fourth proportional to 157,896.81, 234,814.48 and 152,913.29 is: 227,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,896.81 : 234,814.48 = 152,913.29 : x
  2. Step 2: Convert to fraction form
    157,896.81/234,814.48 = 152,913.29/x
  3. Step 3: Cross multiply
    157,896.81x = 234,814.48 × 152,913.29
  4. Step 4: Simplify right side
    157,896.81x = 35,906,253,120.08
  5. Step 5: Solve for x
    x = 35,906,253,120.08/157,896.81
  6. Step 6: Final answer
    x = 227,403.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.