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Finding the Fourth Proportional to 157,356.83, 235,761.86 and 141,938.48

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Solution

The fourth proportional to 157,356.83, 235,761.86 and 141,938.48 is: 212,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,356.83 : 235,761.86 = 141,938.48 : x
  2. Step 2: Convert to fraction form
    157,356.83/235,761.86 = 141,938.48/x
  3. Step 3: Cross multiply
    157,356.83x = 235,761.86 × 141,938.48
  4. Step 4: Simplify right side
    157,356.83x = 33,463,678,161.87
  5. Step 5: Solve for x
    x = 33,463,678,161.87/157,356.83
  6. Step 6: Final answer
    x = 212,661.12

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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.