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Finding the Fourth Proportional to 205,266.88, 283,428.48 and 157,444.48

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Solution

The fourth proportional to 205,266.88, 283,428.48 and 157,444.48 is: 217,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,266.88 : 283,428.48 = 157,444.48 : x
  2. Step 2: Convert to fraction form
    205,266.88/283,428.48 = 157,444.48/x
  3. Step 3: Cross multiply
    205,266.88x = 283,428.48 × 157,444.48
  4. Step 4: Simplify right side
    205,266.88x = 44,624,249,650.79
  5. Step 5: Solve for x
    x = 44,624,249,650.79/205,266.88
  6. Step 6: Final answer
    x = 217,396.25

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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.