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Finding the Fourth Proportional to 226,798.95, 312,962.22 and 131,312.10

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Solution

The fourth proportional to 226,798.95, 312,962.22 and 131,312.10 is: 181,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,798.95 : 312,962.22 = 131,312.10 : x
  2. Step 2: Convert to fraction form
    226,798.95/312,962.22 = 131,312.10/x
  3. Step 3: Cross multiply
    226,798.95x = 312,962.22 × 131,312.10
  4. Step 4: Simplify right side
    226,798.95x = 41,095,726,328.86
  5. Step 5: Solve for x
    x = 41,095,726,328.86/226,798.95
  6. Step 6: Final answer
    x = 181,198.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.