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Finding the Fourth Proportional to 283,048.96, 424,642.56 and 116,884.48

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Solution

The fourth proportional to 283,048.96, 424,642.56 and 116,884.48 is: 175,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,048.96 : 424,642.56 = 116,884.48 : x
  2. Step 2: Convert to fraction form
    283,048.96/424,642.56 = 116,884.48/x
  3. Step 3: Cross multiply
    283,048.96x = 424,642.56 × 116,884.48
  4. Step 4: Simplify right side
    283,048.96x = 49,634,124,811.47
  5. Step 5: Solve for x
    x = 49,634,124,811.47/283,048.96
  6. Step 6: Final answer
    x = 175,355.26

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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.