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Finding the Fourth Proportional to 152,163, 228,244.77 and 41,355

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Solution

The fourth proportional to 152,163, 228,244.77 and 41,355 is: 62,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,163 : 228,244.77 = 41,355 : x
  2. Step 2: Convert to fraction form
    152,163/228,244.77 = 41,355/x
  3. Step 3: Cross multiply
    152,163x = 228,244.77 × 41,355
  4. Step 4: Simplify right side
    152,163x = 9,439,062,463.35
  5. Step 5: Solve for x
    x = 9,439,062,463.35/152,163
  6. Step 6: Final answer
    x = 62,032.57

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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.