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Finding the Fourth Proportional to 270,214.36, 405,259.84 and 101,752.45

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Solution

The fourth proportional to 270,214.36, 405,259.84 and 101,752.45 is: 152,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,214.36 : 405,259.84 = 101,752.45 : x
  2. Step 2: Convert to fraction form
    270,214.36/405,259.84 = 101,752.45/x
  3. Step 3: Cross multiply
    270,214.36x = 405,259.84 × 101,752.45
  4. Step 4: Simplify right side
    270,214.36x = 41,236,181,606.61
  5. Step 5: Solve for x
    x = 41,236,181,606.61/270,214.36
  6. Step 6: Final answer
    x = 152,605.44

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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.