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Finding the Fourth Proportional to 283,173.53, 424,834.14 and 105,682.01

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Solution

The fourth proportional to 283,173.53, 424,834.14 and 105,682.01 is: 158,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,173.53 : 424,834.14 = 105,682.01 : x
  2. Step 2: Convert to fraction form
    283,173.53/424,834.14 = 105,682.01/x
  3. Step 3: Cross multiply
    283,173.53x = 424,834.14 × 105,682.01
  4. Step 4: Simplify right side
    283,173.53x = 44,897,325,831.82
  5. Step 5: Solve for x
    x = 44,897,325,831.82/283,173.53
  6. Step 6: Final answer
    x = 158,550.57

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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.