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Finding the Fourth Proportional to 240,221.75, 360,051.12 and 97,978.23

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Solution

The fourth proportional to 240,221.75, 360,051.12 and 97,978.23 is: 146,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,221.75 : 360,051.12 = 97,978.23 : x
  2. Step 2: Convert to fraction form
    240,221.75/360,051.12 = 97,978.23/x
  3. Step 3: Cross multiply
    240,221.75x = 360,051.12 × 97,978.23
  4. Step 4: Simplify right side
    240,221.75x = 35,277,171,447.12
  5. Step 5: Solve for x
    x = 35,277,171,447.12/240,221.75
  6. Step 6: Final answer
    x = 146,852.53

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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.