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Finding the Fourth Proportional to 144,905.16, 217,204.32 and 48,750.84

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Solution

The fourth proportional to 144,905.16, 217,204.32 and 48,750.84 is: 73,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,905.16 : 217,204.32 = 48,750.84 : x
  2. Step 2: Convert to fraction form
    144,905.16/217,204.32 = 48,750.84/x
  3. Step 3: Cross multiply
    144,905.16x = 217,204.32 × 48,750.84
  4. Step 4: Simplify right side
    144,905.16x = 10,588,893,051.63
  5. Step 5: Solve for x
    x = 10,588,893,051.63/144,905.16
  6. Step 6: Final answer
    x = 73,074.64

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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.