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Finding the Fourth Proportional to 302,057.46, 452,803.23 and 102,237.95

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Solution

The fourth proportional to 302,057.46, 452,803.23 and 102,237.95 is: 153,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,057.46 : 452,803.23 = 102,237.95 : x
  2. Step 2: Convert to fraction form
    302,057.46/452,803.23 = 102,237.95/x
  3. Step 3: Cross multiply
    302,057.46x = 452,803.23 × 102,237.95
  4. Step 4: Simplify right side
    302,057.46x = 46,293,675,120.59
  5. Step 5: Solve for x
    x = 46,293,675,120.59/302,057.46
  6. Step 6: Final answer
    x = 153,261.15

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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.