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Finding the Fourth Proportional to 188,042.40, 282,524.40 and 141,386.40

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Solution

The fourth proportional to 188,042.40, 282,524.40 and 141,386.40 is: 212,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,042.40 : 282,524.40 = 141,386.40 : x
  2. Step 2: Convert to fraction form
    188,042.40/282,524.40 = 141,386.40/x
  3. Step 3: Cross multiply
    188,042.40x = 282,524.40 × 141,386.40
  4. Step 4: Simplify right side
    188,042.40x = 39,945,107,828.16
  5. Step 5: Solve for x
    x = 39,945,107,828.16/188,042.40
  6. Step 6: Final answer
    x = 212,426.07

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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.