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Finding the Fourth Proportional to 293,885.78, 405,186.93 and 190,337.02

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Solution

The fourth proportional to 293,885.78, 405,186.93 and 190,337.02 is: 262,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,885.78 : 405,186.93 = 190,337.02 : x
  2. Step 2: Convert to fraction form
    293,885.78/405,186.93 = 190,337.02/x
  3. Step 3: Cross multiply
    293,885.78x = 405,186.93 × 190,337.02
  4. Step 4: Simplify right side
    293,885.78x = 77,122,071,847.46
  5. Step 5: Solve for x
    x = 77,122,071,847.46/293,885.78
  6. Step 6: Final answer
    x = 262,421.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.