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Finding the Fourth Proportional to 122,726.32, 183,866.98 and 56,222.08

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Solution

The fourth proportional to 122,726.32, 183,866.98 and 56,222.08 is: 84,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,726.32 : 183,866.98 = 56,222.08 : x
  2. Step 2: Convert to fraction form
    122,726.32/183,866.98 = 56,222.08/x
  3. Step 3: Cross multiply
    122,726.32x = 183,866.98 × 56,222.08
  4. Step 4: Simplify right side
    122,726.32x = 10,337,384,058.92
  5. Step 5: Solve for x
    x = 10,337,384,058.92/122,726.32
  6. Step 6: Final answer
    x = 84,231.19

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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.