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Finding the Fourth Proportional to 180,774.18, 270,875.88 and 146,874.87

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Solution

The fourth proportional to 180,774.18, 270,875.88 and 146,874.87 is: 220,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,774.18 : 270,875.88 = 146,874.87 : x
  2. Step 2: Convert to fraction form
    180,774.18/270,875.88 = 146,874.87/x
  3. Step 3: Cross multiply
    180,774.18x = 270,875.88 × 146,874.87
  4. Step 4: Simplify right side
    180,774.18x = 39,784,859,661.14
  5. Step 5: Solve for x
    x = 39,784,859,661.14/180,774.18
  6. Step 6: Final answer
    x = 220,080.43

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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.