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Finding the Fourth Proportional to 202,357.02, 279,209.34 and 117,428.52

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Solution

The fourth proportional to 202,357.02, 279,209.34 and 117,428.52 is: 162,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357.02 : 279,209.34 = 117,428.52 : x
  2. Step 2: Convert to fraction form
    202,357.02/279,209.34 = 117,428.52/x
  3. Step 3: Cross multiply
    202,357.02x = 279,209.34 × 117,428.52
  4. Step 4: Simplify right side
    202,357.02x = 32,787,139,566.38
  5. Step 5: Solve for x
    x = 32,787,139,566.38/202,357.02
  6. Step 6: Final answer
    x = 162,026.20

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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.