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Finding the Fourth Proportional to 188,358.40, 282,998.40 and 141,702.40

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Solution

The fourth proportional to 188,358.40, 282,998.40 and 141,702.40 is: 212,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,358.40 : 282,998.40 = 141,702.40 : x
  2. Step 2: Convert to fraction form
    188,358.40/282,998.40 = 141,702.40/x
  3. Step 3: Cross multiply
    188,358.40x = 282,998.40 × 141,702.40
  4. Step 4: Simplify right side
    188,358.40x = 40,101,552,476.16
  5. Step 5: Solve for x
    x = 40,101,552,476.16/188,358.40
  6. Step 6: Final answer
    x = 212,900.26

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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.