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Finding the Fourth Proportional to 342,227.84, 513,237.12 and 120,560

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Solution

The fourth proportional to 342,227.84, 513,237.12 and 120,560 is: 180,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,227.84 : 513,237.12 = 120,560 : x
  2. Step 2: Convert to fraction form
    342,227.84/513,237.12 = 120,560/x
  3. Step 3: Cross multiply
    342,227.84x = 513,237.12 × 120,560
  4. Step 4: Simplify right side
    342,227.84x = 61,875,867,187.20
  5. Step 5: Solve for x
    x = 61,875,867,187.20/342,227.84
  6. Step 6: Final answer
    x = 180,803.14

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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.