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Finding the Fourth Proportional to 433,102, 649,642.08 and 117,550.72

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Solution

The fourth proportional to 433,102, 649,642.08 and 117,550.72 is: 176,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,102 : 649,642.08 = 117,550.72 : x
  2. Step 2: Convert to fraction form
    433,102/649,642.08 = 117,550.72/x
  3. Step 3: Cross multiply
    433,102x = 649,642.08 × 117,550.72
  4. Step 4: Simplify right side
    433,102x = 76,365,894,246.30
  5. Step 5: Solve for x
    x = 76,365,894,246.30/433,102
  6. Step 6: Final answer
    x = 176,323.12

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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.