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Finding the Fourth Proportional to 223,002.30, 307,626.93 and 136,980.67

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Solution

The fourth proportional to 223,002.30, 307,626.93 and 136,980.67 is: 188,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,002.30 : 307,626.93 = 136,980.67 : x
  2. Step 2: Convert to fraction form
    223,002.30/307,626.93 = 136,980.67/x
  3. Step 3: Cross multiply
    223,002.30x = 307,626.93 × 136,980.67
  4. Step 4: Simplify right side
    223,002.30x = 42,138,944,457.33
  5. Step 5: Solve for x
    x = 42,138,944,457.33/223,002.30
  6. Step 6: Final answer
    x = 188,961.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.