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Finding the Fourth Proportional to 256,256.44, 384,386.02 and 168,068.40

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Solution

The fourth proportional to 256,256.44, 384,386.02 and 168,068.40 is: 252,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,256.44 : 384,386.02 = 168,068.40 : x
  2. Step 2: Convert to fraction form
    256,256.44/384,386.02 = 168,068.40/x
  3. Step 3: Cross multiply
    256,256.44x = 384,386.02 × 168,068.40
  4. Step 4: Simplify right side
    256,256.44x = 64,603,143,363.77
  5. Step 5: Solve for x
    x = 64,603,143,363.77/256,256.44
  6. Step 6: Final answer
    x = 252,103.49

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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.