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Finding the Fourth Proportional to 188,296.34, 282,358.28 and 112,429.32

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Solution

The fourth proportional to 188,296.34, 282,358.28 and 112,429.32 is: 168,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,296.34 : 282,358.28 = 112,429.32 : x
  2. Step 2: Convert to fraction form
    188,296.34/282,358.28 = 112,429.32/x
  3. Step 3: Cross multiply
    188,296.34x = 282,358.28 × 112,429.32
  4. Step 4: Simplify right side
    188,296.34x = 31,745,349,416.77
  5. Step 5: Solve for x
    x = 31,745,349,416.77/188,296.34
  6. Step 6: Final answer
    x = 168,592.49

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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.