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Finding the Fourth Proportional to 188,205.74, 282,319.58 and 53,258.51

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Solution

The fourth proportional to 188,205.74, 282,319.58 and 53,258.51 is: 79,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,205.74 : 282,319.58 = 53,258.51 : x
  2. Step 2: Convert to fraction form
    188,205.74/282,319.58 = 53,258.51/x
  3. Step 3: Cross multiply
    188,205.74x = 282,319.58 × 53,258.51
  4. Step 4: Simplify right side
    188,205.74x = 15,035,920,174.63
  5. Step 5: Solve for x
    x = 15,035,920,174.63/188,205.74
  6. Step 6: Final answer
    x = 79,890.87

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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.