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Finding the Fourth Proportional to 306,075.98, 459,252.48 and 156,238.94

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Solution

The fourth proportional to 306,075.98, 459,252.48 and 156,238.94 is: 234,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,075.98 : 459,252.48 = 156,238.94 : x
  2. Step 2: Convert to fraction form
    306,075.98/459,252.48 = 156,238.94/x
  3. Step 3: Cross multiply
    306,075.98x = 459,252.48 × 156,238.94
  4. Step 4: Simplify right side
    306,075.98x = 71,753,120,667.57
  5. Step 5: Solve for x
    x = 71,753,120,667.57/306,075.98
  6. Step 6: Final answer
    x = 234,429.11

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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.