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Finding the Fourth Proportional to 312,652.59, 469,120.37 and 123,060.75

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Solution

The fourth proportional to 312,652.59, 469,120.37 and 123,060.75 is: 184,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,652.59 : 469,120.37 = 123,060.75 : x
  2. Step 2: Convert to fraction form
    312,652.59/469,120.37 = 123,060.75/x
  3. Step 3: Cross multiply
    312,652.59x = 469,120.37 × 123,060.75
  4. Step 4: Simplify right side
    312,652.59x = 57,730,303,957.17
  5. Step 5: Solve for x
    x = 57,730,303,957.17/312,652.59
  6. Step 6: Final answer
    x = 184,646.81

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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.