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Finding the Fourth Proportional to 180,404.08, 270,574.44 and 55,746.16

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Solution

The fourth proportional to 180,404.08, 270,574.44 and 55,746.16 is: 83,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,404.08 : 270,574.44 = 55,746.16 : x
  2. Step 2: Convert to fraction form
    180,404.08/270,574.44 = 55,746.16/x
  3. Step 3: Cross multiply
    180,404.08x = 270,574.44 × 55,746.16
  4. Step 4: Simplify right side
    180,404.08x = 15,083,486,024.15
  5. Step 5: Solve for x
    x = 15,083,486,024.15/180,404.08
  6. Step 6: Final answer
    x = 83,609.45

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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.