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Finding the Fourth Proportional to 97,315, 145,953.05 and 27,194.92

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Solution

The fourth proportional to 97,315, 145,953.05 and 27,194.92 is: 40,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,315 : 145,953.05 = 27,194.92 : x
  2. Step 2: Convert to fraction form
    97,315/145,953.05 = 27,194.92/x
  3. Step 3: Cross multiply
    97,315x = 145,953.05 × 27,194.92
  4. Step 4: Simplify right side
    97,315x = 3,969,181,518.51
  5. Step 5: Solve for x
    x = 3,969,181,518.51/97,315
  6. Step 6: Final answer
    x = 40,786.94

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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.