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Finding the Fourth Proportional to 180,282, 270,365.49 and 61,924.80

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Solution

The fourth proportional to 180,282, 270,365.49 and 61,924.80 is: 92,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,282 : 270,365.49 = 61,924.80 : x
  2. Step 2: Convert to fraction form
    180,282/270,365.49 = 61,924.80/x
  3. Step 3: Cross multiply
    180,282x = 270,365.49 × 61,924.80
  4. Step 4: Simplify right side
    180,282x = 16,742,328,895.15
  5. Step 5: Solve for x
    x = 16,742,328,895.15/180,282
  6. Step 6: Final answer
    x = 92,867.45

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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.