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Finding the Fourth Proportional to 255,464.69, 352,541.36 and 148,096.96

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Solution

The fourth proportional to 255,464.69, 352,541.36 and 148,096.96 is: 204,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,464.69 : 352,541.36 = 148,096.96 : x
  2. Step 2: Convert to fraction form
    255,464.69/352,541.36 = 148,096.96/x
  3. Step 3: Cross multiply
    255,464.69x = 352,541.36 × 148,096.96
  4. Step 4: Simplify right side
    255,464.69x = 52,210,303,179.15
  5. Step 5: Solve for x
    x = 52,210,303,179.15/255,464.69
  6. Step 6: Final answer
    x = 204,373.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.