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Finding the Fourth Proportional to 309,221.84, 463,898.96 and 95,985.07

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Solution

The fourth proportional to 309,221.84, 463,898.96 and 95,985.07 is: 143,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,221.84 : 463,898.96 = 95,985.07 : x
  2. Step 2: Convert to fraction form
    309,221.84/463,898.96 = 95,985.07/x
  3. Step 3: Cross multiply
    309,221.84x = 463,898.96 × 95,985.07
  4. Step 4: Simplify right side
    309,221.84x = 44,527,374,148.53
  5. Step 5: Solve for x
    x = 44,527,374,148.53/309,221.84
  6. Step 6: Final answer
    x = 143,998.15

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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.