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Finding the Fourth Proportional to 180,294.96, 270,220.88 and 101,243

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Solution

The fourth proportional to 180,294.96, 270,220.88 and 101,243 is: 151,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,294.96 : 270,220.88 = 101,243 : x
  2. Step 2: Convert to fraction form
    180,294.96/270,220.88 = 101,243/x
  3. Step 3: Cross multiply
    180,294.96x = 270,220.88 × 101,243
  4. Step 4: Simplify right side
    180,294.96x = 27,357,972,553.84
  5. Step 5: Solve for x
    x = 27,357,972,553.84/180,294.96
  6. Step 6: Final answer
    x = 151,740.08

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1.5x scale

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.