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Finding the Fourth Proportional to 146,678.08, 202,416 and 79,610.08

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Solution

The fourth proportional to 146,678.08, 202,416 and 79,610.08 is: 109,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,678.08 : 202,416 = 79,610.08 : x
  2. Step 2: Convert to fraction form
    146,678.08/202,416 = 79,610.08/x
  3. Step 3: Cross multiply
    146,678.08x = 202,416 × 79,610.08
  4. Step 4: Simplify right side
    146,678.08x = 16,114,353,953.28
  5. Step 5: Solve for x
    x = 16,114,353,953.28/146,678.08
  6. Step 6: Final answer
    x = 109,862.05

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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.