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Finding the Fourth Proportional to 309,019.83, 463,602.03 and 95,776.59

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Solution

The fourth proportional to 309,019.83, 463,602.03 and 95,776.59 is: 143,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,019.83 : 463,602.03 = 95,776.59 : x
  2. Step 2: Convert to fraction form
    309,019.83/463,602.03 = 95,776.59/x
  3. Step 3: Cross multiply
    309,019.83x = 463,602.03 × 95,776.59
  4. Step 4: Simplify right side
    309,019.83x = 44,402,221,550.48
  5. Step 5: Solve for x
    x = 44,402,221,550.48/309,019.83
  6. Step 6: Final answer
    x = 143,687.29

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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.