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Finding the Fourth Proportional to 242,113.36, 333,927.36 and 206,421.52

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Solution

The fourth proportional to 242,113.36, 333,927.36 and 206,421.52 is: 284,700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,113.36 : 333,927.36 = 206,421.52 : x
  2. Step 2: Convert to fraction form
    242,113.36/333,927.36 = 206,421.52/x
  3. Step 3: Cross multiply
    242,113.36x = 333,927.36 × 206,421.52
  4. Step 4: Simplify right side
    242,113.36x = 68,929,793,220.79
  5. Step 5: Solve for x
    x = 68,929,793,220.79/242,113.36
  6. Step 6: Final answer
    x = 284,700.49

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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.