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Finding the Fourth Proportional to 207,763.76, 286,714.08 and 112,270.46

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Solution

The fourth proportional to 207,763.76, 286,714.08 and 112,270.46 is: 154,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,763.76 : 286,714.08 = 112,270.46 : x
  2. Step 2: Convert to fraction form
    207,763.76/286,714.08 = 112,270.46/x
  3. Step 3: Cross multiply
    207,763.76x = 286,714.08 × 112,270.46
  4. Step 4: Simplify right side
    207,763.76x = 32,189,521,650.08
  5. Step 5: Solve for x
    x = 32,189,521,650.08/207,763.76
  6. Step 6: Final answer
    x = 154,933.28

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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.