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Finding the Fourth Proportional to 188,465.29, 282,566.71 and 70,104.85

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Solution

The fourth proportional to 188,465.29, 282,566.71 and 70,104.85 is: 105,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,465.29 : 282,566.71 = 70,104.85 : x
  2. Step 2: Convert to fraction form
    188,465.29/282,566.71 = 70,104.85/x
  3. Step 3: Cross multiply
    188,465.29x = 282,566.71 × 70,104.85
  4. Step 4: Simplify right side
    188,465.29x = 19,809,296,200.76
  5. Step 5: Solve for x
    x = 19,809,296,200.76/188,465.29
  6. Step 6: Final answer
    x = 105,108.46

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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.