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Finding the Fourth Proportional to 216,898.65, 299,331.32 and 120,102.03

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Solution

The fourth proportional to 216,898.65, 299,331.32 and 120,102.03 is: 165,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,898.65 : 299,331.32 = 120,102.03 : x
  2. Step 2: Convert to fraction form
    216,898.65/299,331.32 = 120,102.03/x
  3. Step 3: Cross multiply
    216,898.65x = 299,331.32 × 120,102.03
  4. Step 4: Simplify right side
    216,898.65x = 35,950,298,574.07
  5. Step 5: Solve for x
    x = 35,950,298,574.07/216,898.65
  6. Step 6: Final answer
    x = 165,746.99

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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.