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Finding the Fourth Proportional to 361,242.01, 498,492.04 and 200,087.65

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Solution

The fourth proportional to 361,242.01, 498,492.04 and 200,087.65 is: 276,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,242.01 : 498,492.04 = 200,087.65 : x
  2. Step 2: Convert to fraction form
    361,242.01/498,492.04 = 200,087.65/x
  3. Step 3: Cross multiply
    361,242.01x = 498,492.04 × 200,087.65
  4. Step 4: Simplify right side
    361,242.01x = 99,742,100,827.31
  5. Step 5: Solve for x
    x = 99,742,100,827.31/361,242.01
  6. Step 6: Final answer
    x = 276,108.81

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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.