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Finding the Fourth Proportional to 257,219, 354,962.40 and 144,044.36

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Solution

The fourth proportional to 257,219, 354,962.40 and 144,044.36 is: 198,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,219 : 354,962.40 = 144,044.36 : x
  2. Step 2: Convert to fraction form
    257,219/354,962.40 = 144,044.36/x
  3. Step 3: Cross multiply
    257,219x = 354,962.40 × 144,044.36
  4. Step 4: Simplify right side
    257,219x = 51,130,331,732.06
  5. Step 5: Solve for x
    x = 51,130,331,732.06/257,219
  6. Step 6: Final answer
    x = 198,781.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.