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Finding the Fourth Proportional to 202,025.61, 278,828.24 and 121,534.49

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Solution

The fourth proportional to 202,025.61, 278,828.24 and 121,534.49 is: 167,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,025.61 : 278,828.24 = 121,534.49 : x
  2. Step 2: Convert to fraction form
    202,025.61/278,828.24 = 121,534.49/x
  3. Step 3: Cross multiply
    202,025.61x = 278,828.24 × 121,534.49
  4. Step 4: Simplify right side
    202,025.61x = 33,887,248,035.40
  5. Step 5: Solve for x
    x = 33,887,248,035.40/202,025.61
  6. Step 6: Final answer
    x = 167,737.39

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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.