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Finding the Fourth Proportional to 277,748.98, 416,609.53 and 97,843.32

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Solution

The fourth proportional to 277,748.98, 416,609.53 and 97,843.32 is: 146,760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,748.98 : 416,609.53 = 97,843.32 : x
  2. Step 2: Convert to fraction form
    277,748.98/416,609.53 = 97,843.32/x
  3. Step 3: Cross multiply
    277,748.98x = 416,609.53 × 97,843.32
  4. Step 4: Simplify right side
    277,748.98x = 40,762,459,314.23
  5. Step 5: Solve for x
    x = 40,762,459,314.23/277,748.98
  6. Step 6: Final answer
    x = 146,760.07

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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.