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Finding the Fourth Proportional to 153,238.64, 229,858 and 48,065.84

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Solution

The fourth proportional to 153,238.64, 229,858 and 48,065.84 is: 72,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,238.64 : 229,858 = 48,065.84 : x
  2. Step 2: Convert to fraction form
    153,238.64/229,858 = 48,065.84/x
  3. Step 3: Cross multiply
    153,238.64x = 229,858 × 48,065.84
  4. Step 4: Simplify right side
    153,238.64x = 11,048,317,850.72
  5. Step 5: Solve for x
    x = 11,048,317,850.72/153,238.64
  6. Step 6: Final answer
    x = 72,098.77

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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.