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Finding the Fourth Proportional to 338,688.68, 508,052.46 and 102,006.68

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Solution

The fourth proportional to 338,688.68, 508,052.46 and 102,006.68 is: 153,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,688.68 : 508,052.46 = 102,006.68 : x
  2. Step 2: Convert to fraction form
    338,688.68/508,052.46 = 102,006.68/x
  3. Step 3: Cross multiply
    338,688.68x = 508,052.46 × 102,006.68
  4. Step 4: Simplify right side
    338,688.68x = 51,824,744,710.43
  5. Step 5: Solve for x
    x = 51,824,744,710.43/338,688.68
  6. Step 6: Final answer
    x = 153,015.87

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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.