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Finding the Fourth Proportional to 202,353.81, 279,268.11 and 117,465.81

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Solution

The fourth proportional to 202,353.81, 279,268.11 and 117,465.81 is: 162,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,353.81 : 279,268.11 = 117,465.81 : x
  2. Step 2: Convert to fraction form
    202,353.81/279,268.11 = 117,465.81/x
  3. Step 3: Cross multiply
    202,353.81x = 279,268.11 × 117,465.81
  4. Step 4: Simplify right side
    202,353.81x = 32,804,454,748.32
  5. Step 5: Solve for x
    x = 32,804,454,748.32/202,353.81
  6. Step 6: Final answer
    x = 162,114.34

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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.