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Finding the Fourth Proportional to 223,852.96, 335,837.52 and 99,164.32

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Solution

The fourth proportional to 223,852.96, 335,837.52 and 99,164.32 is: 148,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,852.96 : 335,837.52 = 99,164.32 : x
  2. Step 2: Convert to fraction form
    223,852.96/335,837.52 = 99,164.32/x
  3. Step 3: Cross multiply
    223,852.96x = 335,837.52 × 99,164.32
  4. Step 4: Simplify right side
    223,852.96x = 33,303,099,301.29
  5. Step 5: Solve for x
    x = 33,303,099,301.29/223,852.96
  6. Step 6: Final answer
    x = 148,772.21

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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.