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Finding the Fourth Proportional to 342,992.16, 514,507.66 and 106,368.48

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Solution

The fourth proportional to 342,992.16, 514,507.66 and 106,368.48 is: 159,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,992.16 : 514,507.66 = 106,368.48 : x
  2. Step 2: Convert to fraction form
    342,992.16/514,507.66 = 106,368.48/x
  3. Step 3: Cross multiply
    342,992.16x = 514,507.66 × 106,368.48
  4. Step 4: Simplify right side
    342,992.16x = 54,727,397,742.56
  5. Step 5: Solve for x
    x = 54,727,397,742.56/342,992.16
  6. Step 6: Final answer
    x = 159,558.74

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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.