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Finding the Fourth Proportional to 202,586.64, 279,309.72 and 138,813.72

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Solution

The fourth proportional to 202,586.64, 279,309.72 and 138,813.72 is: 191,384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,586.64 : 279,309.72 = 138,813.72 : x
  2. Step 2: Convert to fraction form
    202,586.64/279,309.72 = 138,813.72/x
  3. Step 3: Cross multiply
    202,586.64x = 279,309.72 × 138,813.72
  4. Step 4: Simplify right side
    202,586.64x = 38,772,021,265.36
  5. Step 5: Solve for x
    x = 38,772,021,265.36/202,586.64
  6. Step 6: Final answer
    x = 191,384.89

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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.