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Finding the Fourth Proportional to 185,210.26, 277,624.69 and 72,844.93

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Solution

The fourth proportional to 185,210.26, 277,624.69 and 72,844.93 is: 109,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,210.26 : 277,624.69 = 72,844.93 : x
  2. Step 2: Convert to fraction form
    185,210.26/277,624.69 = 72,844.93/x
  3. Step 3: Cross multiply
    185,210.26x = 277,624.69 × 72,844.93
  4. Step 4: Simplify right side
    185,210.26x = 20,223,551,109.32
  5. Step 5: Solve for x
    x = 20,223,551,109.32/185,210.26
  6. Step 6: Final answer
    x = 109,192.39

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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.