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Finding the Fourth Proportional to 200,577.32, 276,798.86 and 109,931.32

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Solution

The fourth proportional to 200,577.32, 276,798.86 and 109,931.32 is: 151,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,577.32 : 276,798.86 = 109,931.32 : x
  2. Step 2: Convert to fraction form
    200,577.32/276,798.86 = 109,931.32/x
  3. Step 3: Cross multiply
    200,577.32x = 276,798.86 × 109,931.32
  4. Step 4: Simplify right side
    200,577.32x = 30,428,864,054.30
  5. Step 5: Solve for x
    x = 30,428,864,054.30/200,577.32
  6. Step 6: Final answer
    x = 151,706.40

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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.