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Finding the Fourth Proportional to 207,047.76, 310,446.15 and 135,054.45

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Solution

The fourth proportional to 207,047.76, 310,446.15 and 135,054.45 is: 202,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,047.76 : 310,446.15 = 135,054.45 : x
  2. Step 2: Convert to fraction form
    207,047.76/310,446.15 = 135,054.45/x
  3. Step 3: Cross multiply
    207,047.76x = 310,446.15 × 135,054.45
  4. Step 4: Simplify right side
    207,047.76x = 41,927,134,042.87
  5. Step 5: Solve for x
    x = 41,927,134,042.87/207,047.76
  6. Step 6: Final answer
    x = 202,499.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.