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Finding the Fourth Proportional to 342,940.10, 514,327.32 and 143,152.11

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Solution

The fourth proportional to 342,940.10, 514,327.32 and 143,152.11 is: 214,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,940.10 : 514,327.32 = 143,152.11 : x
  2. Step 2: Convert to fraction form
    342,940.10/514,327.32 = 143,152.11/x
  3. Step 3: Cross multiply
    342,940.10x = 514,327.32 × 143,152.11
  4. Step 4: Simplify right side
    342,940.10x = 73,627,041,088.65
  5. Step 5: Solve for x
    x = 73,627,041,088.65/342,940.10
  6. Step 6: Final answer
    x = 214,693.59

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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.