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Finding the Fourth Proportional to 153,193, 211,406.34 and 86,125.48

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Solution

The fourth proportional to 153,193, 211,406.34 and 86,125.48 is: 118,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,193 : 211,406.34 = 86,125.48 : x
  2. Step 2: Convert to fraction form
    153,193/211,406.34 = 86,125.48/x
  3. Step 3: Cross multiply
    153,193x = 211,406.34 × 86,125.48
  4. Step 4: Simplify right side
    153,193x = 18,207,472,507.54
  5. Step 5: Solve for x
    x = 18,207,472,507.54/153,193
  6. Step 6: Final answer
    x = 118,853.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.