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Finding the Fourth Proportional to 342,873.83, 514,392.83 and 143,083.06

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Solution

The fourth proportional to 342,873.83, 514,392.83 and 143,083.06 is: 214,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,873.83 : 514,392.83 = 143,083.06 : x
  2. Step 2: Convert to fraction form
    342,873.83/514,392.83 = 143,083.06/x
  3. Step 3: Cross multiply
    342,873.83x = 514,392.83 × 143,083.06
  4. Step 4: Simplify right side
    342,873.83x = 73,600,900,158.46
  5. Step 5: Solve for x
    x = 73,600,900,158.46/342,873.83
  6. Step 6: Final answer
    x = 214,658.84

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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.