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Finding the Fourth Proportional to 153,464.14, 230,196.21 and 144,801.10

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Solution

The fourth proportional to 153,464.14, 230,196.21 and 144,801.10 is: 217,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,464.14 : 230,196.21 = 144,801.10 : x
  2. Step 2: Convert to fraction form
    153,464.14/230,196.21 = 144,801.10/x
  3. Step 3: Cross multiply
    153,464.14x = 230,196.21 × 144,801.10
  4. Step 4: Simplify right side
    153,464.14x = 33,332,664,423.83
  5. Step 5: Solve for x
    x = 33,332,664,423.83/153,464.14
  6. Step 6: Final answer
    x = 217,201.65

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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.