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Finding the Fourth Proportional to 114,461.60, 171,303.60 and 100,464.80

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Solution

The fourth proportional to 114,461.60, 171,303.60 and 100,464.80 is: 150,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,461.60 : 171,303.60 = 100,464.80 : x
  2. Step 2: Convert to fraction form
    114,461.60/171,303.60 = 100,464.80/x
  3. Step 3: Cross multiply
    114,461.60x = 171,303.60 × 100,464.80
  4. Step 4: Simplify right side
    114,461.60x = 17,209,981,913.28
  5. Step 5: Solve for x
    x = 17,209,981,913.28/114,461.60
  6. Step 6: Final answer
    x = 150,355.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.