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Finding the Fourth Proportional to 200,886.16, 301,319.50 and 74,551.04

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Solution

The fourth proportional to 200,886.16, 301,319.50 and 74,551.04 is: 111,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,886.16 : 301,319.50 = 74,551.04 : x
  2. Step 2: Convert to fraction form
    200,886.16/301,319.50 = 74,551.04/x
  3. Step 3: Cross multiply
    200,886.16x = 301,319.50 × 74,551.04
  4. Step 4: Simplify right side
    200,886.16x = 22,463,680,590.68
  5. Step 5: Solve for x
    x = 22,463,680,590.68/200,886.16
  6. Step 6: Final answer
    x = 111,822.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.