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Finding the Fourth Proportional to 202,961.59, 280,087.55 and 112,323.81

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Solution

The fourth proportional to 202,961.59, 280,087.55 and 112,323.81 is: 155,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,961.59 : 280,087.55 = 112,323.81 : x
  2. Step 2: Convert to fraction form
    202,961.59/280,087.55 = 112,323.81/x
  3. Step 3: Cross multiply
    202,961.59x = 280,087.55 × 112,323.81
  4. Step 4: Simplify right side
    202,961.59x = 31,460,499,925.36
  5. Step 5: Solve for x
    x = 31,460,499,925.36/202,961.59
  6. Step 6: Final answer
    x = 155,007.16

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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.