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Finding the Fourth Proportional to 202,554.79, 279,468.75 and 116,509.30

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Solution

The fourth proportional to 202,554.79, 279,468.75 and 116,509.30 is: 160,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,554.79 : 279,468.75 = 116,509.30 : x
  2. Step 2: Convert to fraction form
    202,554.79/279,468.75 = 116,509.30/x
  3. Step 3: Cross multiply
    202,554.79x = 279,468.75 × 116,509.30
  4. Step 4: Simplify right side
    202,554.79x = 32,560,708,434.38
  5. Step 5: Solve for x
    x = 32,560,708,434.38/202,554.79
  6. Step 6: Final answer
    x = 160,750.13

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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.