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Finding the Fourth Proportional to 188,023.40, 282,495.90 and 141,367.40

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Solution

The fourth proportional to 188,023.40, 282,495.90 and 141,367.40 is: 212,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,023.40 : 282,495.90 = 141,367.40 : x
  2. Step 2: Convert to fraction form
    188,023.40/282,495.90 = 141,367.40/x
  3. Step 3: Cross multiply
    188,023.40x = 282,495.90 × 141,367.40
  4. Step 4: Simplify right side
    188,023.40x = 39,935,710,893.66
  5. Step 5: Solve for x
    x = 39,935,710,893.66/188,023.40
  6. Step 6: Final answer
    x = 212,397.56

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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.