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Finding the Fourth Proportional to 188,746.47, 282,914.37 and 94,046.63

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Solution

The fourth proportional to 188,746.47, 282,914.37 and 94,046.63 is: 140,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,746.47 : 282,914.37 = 94,046.63 : x
  2. Step 2: Convert to fraction form
    188,746.47/282,914.37 = 94,046.63/x
  3. Step 3: Cross multiply
    188,746.47x = 282,914.37 × 94,046.63
  4. Step 4: Simplify right side
    188,746.47x = 26,607,141,662.50
  5. Step 5: Solve for x
    x = 26,607,141,662.50/188,746.47
  6. Step 6: Final answer
    x = 140,967.63

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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.