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Finding the Fourth Proportional to 185,501.64, 278,064.63 and 73,261

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Solution

The fourth proportional to 185,501.64, 278,064.63 and 73,261 is: 109,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,501.64 : 278,064.63 = 73,261 : x
  2. Step 2: Convert to fraction form
    185,501.64/278,064.63 = 73,261/x
  3. Step 3: Cross multiply
    185,501.64x = 278,064.63 × 73,261
  4. Step 4: Simplify right side
    185,501.64x = 20,371,292,858.43
  5. Step 5: Solve for x
    x = 20,371,292,858.43/185,501.64
  6. Step 6: Final answer
    x = 109,817.32

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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.