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Finding the Fourth Proportional to 343,065.57, 514,573.62 and 106,402.11

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Solution

The fourth proportional to 343,065.57, 514,573.62 and 106,402.11 is: 159,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,065.57 : 514,573.62 = 106,402.11 : x
  2. Step 2: Convert to fraction form
    343,065.57/514,573.62 = 106,402.11/x
  3. Step 3: Cross multiply
    343,065.57x = 514,573.62 × 106,402.11
  4. Step 4: Simplify right side
    343,065.57x = 54,751,718,918.34
  5. Step 5: Solve for x
    x = 54,751,718,918.34/343,065.57
  6. Step 6: Final answer
    x = 159,595.49

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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.