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Finding the Fourth Proportional to 194,751.93, 292,127.90 and 47,007.93

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Solution

The fourth proportional to 194,751.93, 292,127.90 and 47,007.93 is: 70,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,751.93 : 292,127.90 = 47,007.93 : x
  2. Step 2: Convert to fraction form
    194,751.93/292,127.90 = 47,007.93/x
  3. Step 3: Cross multiply
    194,751.93x = 292,127.90 × 47,007.93
  4. Step 4: Simplify right side
    194,751.93x = 13,732,327,874.25
  5. Step 5: Solve for x
    x = 13,732,327,874.25/194,751.93
  6. Step 6: Final answer
    x = 70,511.90

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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.