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Finding the Fourth Proportional to 180,953.73, 271,431.36 and 75,698.91

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Solution

The fourth proportional to 180,953.73, 271,431.36 and 75,698.91 is: 113,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,953.73 : 271,431.36 = 75,698.91 : x
  2. Step 2: Convert to fraction form
    180,953.73/271,431.36 = 75,698.91/x
  3. Step 3: Cross multiply
    180,953.73x = 271,431.36 × 75,698.91
  4. Step 4: Simplify right side
    180,953.73x = 20,547,058,091.82
  5. Step 5: Solve for x
    x = 20,547,058,091.82/180,953.73
  6. Step 6: Final answer
    x = 113,548.69

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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.