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Finding the Fourth Proportional to 309,262.14, 463,965.84 and 96,019.10

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Solution

The fourth proportional to 309,262.14, 463,965.84 and 96,019.10 is: 144,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,262.14 : 463,965.84 = 96,019.10 : x
  2. Step 2: Convert to fraction form
    309,262.14/463,965.84 = 96,019.10/x
  3. Step 3: Cross multiply
    309,262.14x = 463,965.84 × 96,019.10
  4. Step 4: Simplify right side
    309,262.14x = 44,549,582,387.54
  5. Step 5: Solve for x
    x = 44,549,582,387.54/309,262.14
  6. Step 6: Final answer
    x = 144,051.20

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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.