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Finding the Fourth Proportional to 239,457, 359,187.30 and 106,301.46

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Solution

The fourth proportional to 239,457, 359,187.30 and 106,301.46 is: 159,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,457 : 359,187.30 = 106,301.46 : x
  2. Step 2: Convert to fraction form
    239,457/359,187.30 = 106,301.46/x
  3. Step 3: Cross multiply
    239,457x = 359,187.30 × 106,301.46
  4. Step 4: Simplify right side
    239,457x = 38,182,134,403.46
  5. Step 5: Solve for x
    x = 38,182,134,403.46/239,457
  6. Step 6: Final answer
    x = 159,452.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.