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Finding the Fourth Proportional to 344,089.78, 516,139.85 and 119,457.34

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Solution

The fourth proportional to 344,089.78, 516,139.85 and 119,457.34 is: 179,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,089.78 : 516,139.85 = 119,457.34 : x
  2. Step 2: Convert to fraction form
    344,089.78/516,139.85 = 119,457.34/x
  3. Step 3: Cross multiply
    344,089.78x = 516,139.85 × 119,457.34
  4. Step 4: Simplify right side
    344,089.78x = 61,656,695,783.17
  5. Step 5: Solve for x
    x = 61,656,695,783.17/344,089.78
  6. Step 6: Final answer
    x = 179,187.82

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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.