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Finding the Fourth Proportional to 202,937.40, 304,511.14 and 147,237.24

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Solution

The fourth proportional to 202,937.40, 304,511.14 and 147,237.24 is: 220,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,937.40 : 304,511.14 = 147,237.24 : x
  2. Step 2: Convert to fraction form
    202,937.40/304,511.14 = 147,237.24/x
  3. Step 3: Cross multiply
    202,937.40x = 304,511.14 × 147,237.24
  4. Step 4: Simplify right side
    202,937.40x = 44,835,381,128.82
  5. Step 5: Solve for x
    x = 44,835,381,128.82/202,937.40
  6. Step 6: Final answer
    x = 220,932.08

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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.