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Finding the Fourth Proportional to 214,689.68, 296,281.01 and 119,196.38

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Solution

The fourth proportional to 214,689.68, 296,281.01 and 119,196.38 is: 164,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,689.68 : 296,281.01 = 119,196.38 : x
  2. Step 2: Convert to fraction form
    214,689.68/296,281.01 = 119,196.38/x
  3. Step 3: Cross multiply
    214,689.68x = 296,281.01 × 119,196.38
  4. Step 4: Simplify right side
    214,689.68x = 35,315,621,777.36
  5. Step 5: Solve for x
    x = 35,315,621,777.36/214,689.68
  6. Step 6: Final answer
    x = 164,496.14

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Why These Related Problems?

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