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Finding the Fourth Proportional to 342,752.84, 514,342.14 and 165,278.12

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Solution

The fourth proportional to 342,752.84, 514,342.14 and 165,278.12 is: 248,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,752.84 : 514,342.14 = 165,278.12 : x
  2. Step 2: Convert to fraction form
    342,752.84/514,342.14 = 165,278.12/x
  3. Step 3: Cross multiply
    342,752.84x = 514,342.14 × 165,278.12
  4. Step 4: Simplify right side
    342,752.84x = 85,009,501,935.98
  5. Step 5: Solve for x
    x = 85,009,501,935.98/342,752.84
  6. Step 6: Final answer
    x = 248,019.83

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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.