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Finding the Fourth Proportional to 201,085.44, 301,056.96 and 153,645.12

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Solution

The fourth proportional to 201,085.44, 301,056.96 and 153,645.12 is: 230,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,085.44 : 301,056.96 = 153,645.12 : x
  2. Step 2: Convert to fraction form
    201,085.44/301,056.96 = 153,645.12/x
  3. Step 3: Cross multiply
    201,085.44x = 301,056.96 × 153,645.12
  4. Step 4: Simplify right side
    201,085.44x = 46,255,932,746.04
  5. Step 5: Solve for x
    x = 46,255,932,746.04/201,085.44
  6. Step 6: Final answer
    x = 230,031.24

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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.