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Finding the Fourth Proportional to 180,855.71, 270,840.63 and 127,416.36

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Solution

The fourth proportional to 180,855.71, 270,840.63 and 127,416.36 is: 190,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,855.71 : 270,840.63 = 127,416.36 : x
  2. Step 2: Convert to fraction form
    180,855.71/270,840.63 = 127,416.36/x
  3. Step 3: Cross multiply
    180,855.71x = 270,840.63 × 127,416.36
  4. Step 4: Simplify right side
    180,855.71x = 34,509,527,214.71
  5. Step 5: Solve for x
    x = 34,509,527,214.71/180,855.71
  6. Step 6: Final answer
    x = 190,812.49

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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.