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Finding the Fourth Proportional to 200,434.64, 276,599.86 and 109,792.08

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Solution

The fourth proportional to 200,434.64, 276,599.86 and 109,792.08 is: 151,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,434.64 : 276,599.86 = 109,792.08 : x
  2. Step 2: Convert to fraction form
    200,434.64/276,599.86 = 109,792.08/x
  3. Step 3: Cross multiply
    200,434.64x = 276,599.86 × 109,792.08
  4. Step 4: Simplify right side
    200,434.64x = 30,368,473,682.63
  5. Step 5: Solve for x
    x = 30,368,473,682.63/200,434.64
  6. Step 6: Final answer
    x = 151,513.10

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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.