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Finding the Fourth Proportional to 202,656.40, 279,666.92 and 110,775.80

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Solution

The fourth proportional to 202,656.40, 279,666.92 and 110,775.80 is: 152,871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,656.40 : 279,666.92 = 110,775.80 : x
  2. Step 2: Convert to fraction form
    202,656.40/279,666.92 = 110,775.80/x
  3. Step 3: Cross multiply
    202,656.40x = 279,666.92 × 110,775.80
  4. Step 4: Simplify right side
    202,656.40x = 30,980,327,772.64
  5. Step 5: Solve for x
    x = 30,980,327,772.64/202,656.40
  6. Step 6: Final answer
    x = 152,871.21

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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.