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Finding the Fourth Proportional to 202,053, 302,620.72 and 156,710.37

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Solution

The fourth proportional to 202,053, 302,620.72 and 156,710.37 is: 234,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,053 : 302,620.72 = 156,710.37 : x
  2. Step 2: Convert to fraction form
    202,053/302,620.72 = 156,710.37/x
  3. Step 3: Cross multiply
    202,053x = 302,620.72 × 156,710.37
  4. Step 4: Simplify right side
    202,053x = 47,423,805,000.87
  5. Step 5: Solve for x
    x = 47,423,805,000.87/202,053
  6. Step 6: Final answer
    x = 234,709.73

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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.