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Finding the Fourth Proportional to 305,429.80, 458,363.40 and 128,064.10

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Solution

The fourth proportional to 305,429.80, 458,363.40 and 128,064.10 is: 192,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,429.80 : 458,363.40 = 128,064.10 : x
  2. Step 2: Convert to fraction form
    305,429.80/458,363.40 = 128,064.10/x
  3. Step 3: Cross multiply
    305,429.80x = 458,363.40 × 128,064.10
  4. Step 4: Simplify right side
    305,429.80x = 58,699,896,293.94
  5. Step 5: Solve for x
    x = 58,699,896,293.94/305,429.80
  6. Step 6: Final answer
    x = 192,187.85

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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.