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Finding the Fourth Proportional to 209,756.52, 289,439.06 and 119,111.80

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Solution

The fourth proportional to 209,756.52, 289,439.06 and 119,111.80 is: 164,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,756.52 : 289,439.06 = 119,111.80 : x
  2. Step 2: Convert to fraction form
    209,756.52/289,439.06 = 119,111.80/x
  3. Step 3: Cross multiply
    209,756.52x = 289,439.06 × 119,111.80
  4. Step 4: Simplify right side
    209,756.52x = 34,475,607,426.91
  5. Step 5: Solve for x
    x = 34,475,607,426.91/209,756.52
  6. Step 6: Final answer
    x = 164,360.12

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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.