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Finding the Fourth Proportional to 223,837.98, 308,802.15 and 148,255.26

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Solution

The fourth proportional to 223,837.98, 308,802.15 and 148,255.26 is: 204,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,837.98 : 308,802.15 = 148,255.26 : x
  2. Step 2: Convert to fraction form
    223,837.98/308,802.15 = 148,255.26/x
  3. Step 3: Cross multiply
    223,837.98x = 308,802.15 × 148,255.26
  4. Step 4: Simplify right side
    223,837.98x = 45,781,543,036.81
  5. Step 5: Solve for x
    x = 45,781,543,036.81/223,837.98
  6. Step 6: Final answer
    x = 204,529.83

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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.