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Finding the Fourth Proportional to 194,503.34, 291,755.08 and 61,397.06

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Solution

The fourth proportional to 194,503.34, 291,755.08 and 61,397.06 is: 92,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,503.34 : 291,755.08 = 61,397.06 : x
  2. Step 2: Convert to fraction form
    194,503.34/291,755.08 = 61,397.06/x
  3. Step 3: Cross multiply
    194,503.34x = 291,755.08 × 61,397.06
  4. Step 4: Simplify right side
    194,503.34x = 17,912,904,152.06
  5. Step 5: Solve for x
    x = 17,912,904,152.06/194,503.34
  6. Step 6: Final answer
    x = 92,095.61

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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.