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Finding the Fourth Proportional to 300,962.95, 451,599.64 and 141,055.13

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Solution

The fourth proportional to 300,962.95, 451,599.64 and 141,055.13 is: 211,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,962.95 : 451,599.64 = 141,055.13 : x
  2. Step 2: Convert to fraction form
    300,962.95/451,599.64 = 141,055.13/x
  3. Step 3: Cross multiply
    300,962.95x = 451,599.64 × 141,055.13
  4. Step 4: Simplify right side
    300,962.95x = 63,700,446,803.70
  5. Step 5: Solve for x
    x = 63,700,446,803.70/300,962.95
  6. Step 6: Final answer
    x = 211,655.44

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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.