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Finding the Fourth Proportional to 201,566.64, 278,154.84 and 110,920.32

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Solution

The fourth proportional to 201,566.64, 278,154.84 and 110,920.32 is: 153,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,566.64 : 278,154.84 = 110,920.32 : x
  2. Step 2: Convert to fraction form
    201,566.64/278,154.84 = 110,920.32/x
  3. Step 3: Cross multiply
    201,566.64x = 278,154.84 × 110,920.32
  4. Step 4: Simplify right side
    201,566.64x = 30,853,023,862.35
  5. Step 5: Solve for x
    x = 30,853,023,862.35/201,566.64
  6. Step 6: Final answer
    x = 153,066.12

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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.