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Finding the Fourth Proportional to 301,075.76, 451,613.84 and 76,453.04

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Solution

The fourth proportional to 301,075.76, 451,613.84 and 76,453.04 is: 114,679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,075.76 : 451,613.84 = 76,453.04 : x
  2. Step 2: Convert to fraction form
    301,075.76/451,613.84 = 76,453.04/x
  3. Step 3: Cross multiply
    301,075.76x = 451,613.84 × 76,453.04
  4. Step 4: Simplify right side
    301,075.76x = 34,527,248,333.74
  5. Step 5: Solve for x
    x = 34,527,248,333.74/301,075.76
  6. Step 6: Final answer
    x = 114,679.60

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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.