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Finding the Fourth Proportional to 202,748.96, 279,781.53 and 112,097.81

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Solution

The fourth proportional to 202,748.96, 279,781.53 and 112,097.81 is: 154,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,748.96 : 279,781.53 = 112,097.81 : x
  2. Step 2: Convert to fraction form
    202,748.96/279,781.53 = 112,097.81/x
  3. Step 3: Cross multiply
    202,748.96x = 279,781.53 × 112,097.81
  4. Step 4: Simplify right side
    202,748.96x = 31,362,895,392.54
  5. Step 5: Solve for x
    x = 31,362,895,392.54/202,748.96
  6. Step 6: Final answer
    x = 154,688.32

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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.