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Finding the Fourth Proportional to 201,645.60, 302,293.38 and 101,722.32

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Solution

The fourth proportional to 201,645.60, 302,293.38 and 101,722.32 is: 152,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645.60 : 302,293.38 = 101,722.32 : x
  2. Step 2: Convert to fraction form
    201,645.60/302,293.38 = 101,722.32/x
  3. Step 3: Cross multiply
    201,645.60x = 302,293.38 × 101,722.32
  4. Step 4: Simplify right side
    201,645.60x = 30,749,983,934.24
  5. Step 5: Solve for x
    x = 30,749,983,934.24/201,645.60
  6. Step 6: Final answer
    x = 152,495.19

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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.