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Finding the Fourth Proportional to 206,370.96, 284,852.72 and 134,762.16

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Solution

The fourth proportional to 206,370.96, 284,852.72 and 134,762.16 is: 186,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,370.96 : 284,852.72 = 134,762.16 : x
  2. Step 2: Convert to fraction form
    206,370.96/284,852.72 = 134,762.16/x
  3. Step 3: Cross multiply
    206,370.96x = 284,852.72 × 134,762.16
  4. Step 4: Simplify right side
    206,370.96x = 38,387,367,829.08
  5. Step 5: Solve for x
    x = 38,387,367,829.08/206,370.96
  6. Step 6: Final answer
    x = 186,011.48

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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.