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Finding the Fourth Proportional to 187,044, 258,086.48 and 106,466.80

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Solution

The fourth proportional to 187,044, 258,086.48 and 106,466.80 is: 146,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,044 : 258,086.48 = 106,466.80 : x
  2. Step 2: Convert to fraction form
    187,044/258,086.48 = 106,466.80/x
  3. Step 3: Cross multiply
    187,044x = 258,086.48 × 106,466.80
  4. Step 4: Simplify right side
    187,044x = 27,477,641,648.86
  5. Step 5: Solve for x
    x = 27,477,641,648.86/187,044
  6. Step 6: Final answer
    x = 146,904.69

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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.