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Finding the Fourth Proportional to 284,265, 426,399.12 and 118,053

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Solution

The fourth proportional to 284,265, 426,399.12 and 118,053 is: 177,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,265 : 426,399.12 = 118,053 : x
  2. Step 2: Convert to fraction form
    284,265/426,399.12 = 118,053/x
  3. Step 3: Cross multiply
    284,265x = 426,399.12 × 118,053
  4. Step 4: Simplify right side
    284,265x = 50,337,695,313.36
  5. Step 5: Solve for x
    x = 50,337,695,313.36/284,265
  6. Step 6: Final answer
    x = 177,080.17

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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.