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Finding the Fourth Proportional to 210,029.06, 289,847.76 and 119,400.32

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Solution

The fourth proportional to 210,029.06, 289,847.76 and 119,400.32 is: 164,776.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,029.06 : 289,847.76 = 119,400.32 : x
  2. Step 2: Convert to fraction form
    210,029.06/289,847.76 = 119,400.32/x
  3. Step 3: Cross multiply
    210,029.06x = 289,847.76 × 119,400.32
  4. Step 4: Simplify right side
    210,029.06x = 34,607,915,295.28
  5. Step 5: Solve for x
    x = 34,607,915,295.28/210,029.06
  6. Step 6: Final answer
    x = 164,776.79

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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.