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Finding the Fourth Proportional to 202,214.10, 303,904.35 and 176,553.30

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Solution

The fourth proportional to 202,214.10, 303,904.35 and 176,553.30 is: 265,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,214.10 : 303,904.35 = 176,553.30 : x
  2. Step 2: Convert to fraction form
    202,214.10/303,904.35 = 176,553.30/x
  3. Step 3: Cross multiply
    202,214.10x = 303,904.35 × 176,553.30
  4. Step 4: Simplify right side
    202,214.10x = 53,655,315,876.86
  5. Step 5: Solve for x
    x = 53,655,315,876.86/202,214.10
  6. Step 6: Final answer
    x = 265,339.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.