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Finding the Fourth Proportional to 284,590.86, 426,839.53 and 102,183.91

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Solution

The fourth proportional to 284,590.86, 426,839.53 and 102,183.91 is: 153,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,590.86 : 426,839.53 = 102,183.91 : x
  2. Step 2: Convert to fraction form
    284,590.86/426,839.53 = 102,183.91/x
  3. Step 3: Cross multiply
    284,590.86x = 426,839.53 × 102,183.91
  4. Step 4: Simplify right side
    284,590.86x = 43,616,130,603.81
  5. Step 5: Solve for x
    x = 43,616,130,603.81/284,590.86
  6. Step 6: Final answer
    x = 153,259.07

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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.