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Finding the Fourth Proportional to 209,480.08, 314,234.68 and 69,337.12

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Solution

The fourth proportional to 209,480.08, 314,234.68 and 69,337.12 is: 104,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,480.08 : 314,234.68 = 69,337.12 : x
  2. Step 2: Convert to fraction form
    209,480.08/314,234.68 = 69,337.12/x
  3. Step 3: Cross multiply
    209,480.08x = 314,234.68 × 69,337.12
  4. Step 4: Simplify right side
    209,480.08x = 21,788,127,715.32
  5. Step 5: Solve for x
    x = 21,788,127,715.32/209,480.08
  6. Step 6: Final answer
    x = 104,010.50

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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.