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Finding the Fourth Proportional to 200,078.43, 276,145.16 and 128,547.87

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Solution

The fourth proportional to 200,078.43, 276,145.16 and 128,547.87 is: 177,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,078.43 : 276,145.16 = 128,547.87 : x
  2. Step 2: Convert to fraction form
    200,078.43/276,145.16 = 128,547.87/x
  3. Step 3: Cross multiply
    200,078.43x = 276,145.16 × 128,547.87
  4. Step 4: Simplify right side
    200,078.43x = 35,497,872,128.81
  5. Step 5: Solve for x
    x = 35,497,872,128.81/200,078.43
  6. Step 6: Final answer
    x = 177,419.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.