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Finding the Fourth Proportional to 188,095.44, 282,159.56 and 61,697.77

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Solution

The fourth proportional to 188,095.44, 282,159.56 and 61,697.77 is: 92,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,095.44 : 282,159.56 = 61,697.77 : x
  2. Step 2: Convert to fraction form
    188,095.44/282,159.56 = 61,697.77/x
  3. Step 3: Cross multiply
    188,095.44x = 282,159.56 × 61,697.77
  4. Step 4: Simplify right side
    188,095.44x = 17,408,615,636.18
  5. Step 5: Solve for x
    x = 17,408,615,636.18/188,095.44
  6. Step 6: Final answer
    x = 92,552.03

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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.