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Finding the Fourth Proportional to 452,114.16, 678,177.72 and 136,573.80

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Solution

The fourth proportional to 452,114.16, 678,177.72 and 136,573.80 is: 204,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,114.16 : 678,177.72 = 136,573.80 : x
  2. Step 2: Convert to fraction form
    452,114.16/678,177.72 = 136,573.80/x
  3. Step 3: Cross multiply
    452,114.16x = 678,177.72 × 136,573.80
  4. Step 4: Simplify right side
    452,114.16x = 92,621,308,295.74
  5. Step 5: Solve for x
    x = 92,621,308,295.74/452,114.16
  6. Step 6: Final answer
    x = 204,862.66

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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.