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Finding the Fourth Proportional to 309,186.41, 463,756.93 and 98,767.85

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Solution

The fourth proportional to 309,186.41, 463,756.93 and 98,767.85 is: 148,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,186.41 : 463,756.93 = 98,767.85 : x
  2. Step 2: Convert to fraction form
    309,186.41/463,756.93 = 98,767.85/x
  3. Step 3: Cross multiply
    309,186.41x = 463,756.93 × 98,767.85
  4. Step 4: Simplify right side
    309,186.41x = 45,804,272,086.08
  5. Step 5: Solve for x
    x = 45,804,272,086.08/309,186.41
  6. Step 6: Final answer
    x = 148,144.52

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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.