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Finding the Fourth Proportional to 144,992.34, 217,401.14 and 65,015.84

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Solution

The fourth proportional to 144,992.34, 217,401.14 and 65,015.84 is: 97,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,992.34 : 217,401.14 = 65,015.84 : x
  2. Step 2: Convert to fraction form
    144,992.34/217,401.14 = 65,015.84/x
  3. Step 3: Cross multiply
    144,992.34x = 217,401.14 × 65,015.84
  4. Step 4: Simplify right side
    144,992.34x = 14,134,518,440.10
  5. Step 5: Solve for x
    x = 14,134,518,440.10/144,992.34
  6. Step 6: Final answer
    x = 97,484.59

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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.