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Finding the Fourth Proportional to 223,253.10, 334,916.55 and 103,429.80

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Solution

The fourth proportional to 223,253.10, 334,916.55 and 103,429.80 is: 155,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,253.10 : 334,916.55 = 103,429.80 : x
  2. Step 2: Convert to fraction form
    223,253.10/334,916.55 = 103,429.80/x
  3. Step 3: Cross multiply
    223,253.10x = 334,916.55 × 103,429.80
  4. Step 4: Simplify right side
    223,253.10x = 34,640,351,783.19
  5. Step 5: Solve for x
    x = 34,640,351,783.19/223,253.10
  6. Step 6: Final answer
    x = 155,161.80

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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.