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Finding the Fourth Proportional to 207,714.47, 286,310.16 and 162,313.56

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Solution

The fourth proportional to 207,714.47, 286,310.16 and 162,313.56 is: 223,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,714.47 : 286,310.16 = 162,313.56 : x
  2. Step 2: Convert to fraction form
    207,714.47/286,310.16 = 162,313.56/x
  3. Step 3: Cross multiply
    207,714.47x = 286,310.16 × 162,313.56
  4. Step 4: Simplify right side
    207,714.47x = 46,472,021,333.77
  5. Step 5: Solve for x
    x = 46,472,021,333.77/207,714.47
  6. Step 6: Final answer
    x = 223,730.31

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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.