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Finding the Fourth Proportional to 187,094.38, 258,184.47 and 106,533.40

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Solution

The fourth proportional to 187,094.38, 258,184.47 and 106,533.40 is: 147,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,094.38 : 258,184.47 = 106,533.40 : x
  2. Step 2: Convert to fraction form
    187,094.38/258,184.47 = 106,533.40/x
  3. Step 3: Cross multiply
    187,094.38x = 258,184.47 × 106,533.40
  4. Step 4: Simplify right side
    187,094.38x = 27,505,269,416.30
  5. Step 5: Solve for x
    x = 27,505,269,416.30/187,094.38
  6. Step 6: Final answer
    x = 147,012.80

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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.