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Finding the Fourth Proportional to 188,012.50, 282,197.77 and 116,719.34

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Solution

The fourth proportional to 188,012.50, 282,197.77 and 116,719.34 is: 175,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,012.50 : 282,197.77 = 116,719.34 : x
  2. Step 2: Convert to fraction form
    188,012.50/282,197.77 = 116,719.34/x
  3. Step 3: Cross multiply
    188,012.50x = 282,197.77 × 116,719.34
  4. Step 4: Simplify right side
    188,012.50x = 32,937,935,761.08
  5. Step 5: Solve for x
    x = 32,937,935,761.08/188,012.50
  6. Step 6: Final answer
    x = 175,190.14

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1.5x scale

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.