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Finding the Fourth Proportional to 122,255.29, 183,345.57 and 84,547

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Solution

The fourth proportional to 122,255.29, 183,345.57 and 84,547 is: 126,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,255.29 : 183,345.57 = 84,547 : x
  2. Step 2: Convert to fraction form
    122,255.29/183,345.57 = 84,547/x
  3. Step 3: Cross multiply
    122,255.29x = 183,345.57 × 84,547
  4. Step 4: Simplify right side
    122,255.29x = 15,501,317,906.79
  5. Step 5: Solve for x
    x = 15,501,317,906.79/122,255.29
  6. Step 6: Final answer
    x = 126,794.66

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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.