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Finding the Fourth Proportional to 302,050, 452,791.86 and 102,230.56

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Solution

The fourth proportional to 302,050, 452,791.86 and 102,230.56 is: 153,250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,050 : 452,791.86 = 102,230.56 : x
  2. Step 2: Convert to fraction form
    302,050/452,791.86 = 102,230.56/x
  3. Step 3: Cross multiply
    302,050x = 452,791.86 × 102,230.56
  4. Step 4: Simplify right side
    302,050x = 46,289,165,411.24
  5. Step 5: Solve for x
    x = 46,289,165,411.24/302,050
  6. Step 6: Final answer
    x = 153,250.01

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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.