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Finding the Fourth Proportional to 207,146.52, 285,859.80 and 116,502.12

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Solution

The fourth proportional to 207,146.52, 285,859.80 and 116,502.12 is: 160,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,146.52 : 285,859.80 = 116,502.12 : x
  2. Step 2: Convert to fraction form
    207,146.52/285,859.80 = 116,502.12/x
  3. Step 3: Cross multiply
    207,146.52x = 285,859.80 × 116,502.12
  4. Step 4: Simplify right side
    207,146.52x = 33,303,272,722.78
  5. Step 5: Solve for x
    x = 33,303,272,722.78/207,146.52
  6. Step 6: Final answer
    x = 160,771.58

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1.5x scale

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.