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Finding the Fourth Proportional to 309,223.84, 463,901.96 and 95,987.07

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Solution

The fourth proportional to 309,223.84, 463,901.96 and 95,987.07 is: 144,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,223.84 : 463,901.96 = 95,987.07 : x
  2. Step 2: Convert to fraction form
    309,223.84/463,901.96 = 95,987.07/x
  3. Step 3: Cross multiply
    309,223.84x = 463,901.96 × 95,987.07
  4. Step 4: Simplify right side
    309,223.84x = 44,528,589,907.66
  5. Step 5: Solve for x
    x = 44,528,589,907.66/309,223.84
  6. Step 6: Final answer
    x = 144,001.15

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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.