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Finding the Fourth Proportional to 305,655.80, 458,503.95 and 81,013.10

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Solution

The fourth proportional to 305,655.80, 458,503.95 and 81,013.10 is: 121,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,655.80 : 458,503.95 = 81,013.10 : x
  2. Step 2: Convert to fraction form
    305,655.80/458,503.95 = 81,013.10/x
  3. Step 3: Cross multiply
    305,655.80x = 458,503.95 × 81,013.10
  4. Step 4: Simplify right side
    305,655.80x = 37,144,826,351.75
  5. Step 5: Solve for x
    x = 37,144,826,351.75/305,655.80
  6. Step 6: Final answer
    x = 121,525.02

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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.