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Finding the Fourth Proportional to 343,031.76, 514,602.18 and 106,325.46

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Solution

The fourth proportional to 343,031.76, 514,602.18 and 106,325.46 is: 159,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,031.76 : 514,602.18 = 106,325.46 : x
  2. Step 2: Convert to fraction form
    343,031.76/514,602.18 = 106,325.46/x
  3. Step 3: Cross multiply
    343,031.76x = 514,602.18 × 106,325.46
  4. Step 4: Simplify right side
    343,031.76x = 54,715,313,505.50
  5. Step 5: Solve for x
    x = 54,715,313,505.50/343,031.76
  6. Step 6: Final answer
    x = 159,505.10

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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.