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Finding the Fourth Proportional to 342,751.84, 514,340.64 and 165,277.12

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Solution

The fourth proportional to 342,751.84, 514,340.64 and 165,277.12 is: 248,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,751.84 : 514,340.64 = 165,277.12 : x
  2. Step 2: Convert to fraction form
    342,751.84/514,340.64 = 165,277.12/x
  3. Step 3: Cross multiply
    342,751.84x = 514,340.64 × 165,277.12
  4. Step 4: Simplify right side
    342,751.84x = 85,008,739,678.16
  5. Step 5: Solve for x
    x = 85,008,739,678.16/342,751.84
  6. Step 6: Final answer
    x = 248,018.33

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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.