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Finding the Fourth Proportional to 464,103.34, 696,155.62 and 127,146.94

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Solution

The fourth proportional to 464,103.34, 696,155.62 and 127,146.94 is: 190,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,103.34 : 696,155.62 = 127,146.94 : x
  2. Step 2: Convert to fraction form
    464,103.34/696,155.62 = 127,146.94/x
  3. Step 3: Cross multiply
    464,103.34x = 696,155.62 × 127,146.94
  4. Step 4: Simplify right side
    464,103.34x = 88,514,056,846.80
  5. Step 5: Solve for x
    x = 88,514,056,846.80/464,103.34
  6. Step 6: Final answer
    x = 190,720.58

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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.