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Finding the Fourth Proportional to 153,284.84, 229,936.96 and 48,107.96

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Solution

The fourth proportional to 153,284.84, 229,936.96 and 48,107.96 is: 72,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,284.84 : 229,936.96 = 48,107.96 : x
  2. Step 2: Convert to fraction form
    153,284.84/229,936.96 = 48,107.96/x
  3. Step 3: Cross multiply
    153,284.84x = 229,936.96 × 48,107.96
  4. Step 4: Simplify right side
    153,284.84x = 11,061,798,074.20
  5. Step 5: Solve for x
    x = 11,061,798,074.20/153,284.84
  6. Step 6: Final answer
    x = 72,164.98

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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.