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Finding the Fourth Proportional to 309,297.18, 463,776.93 and 93,124.38

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Solution

The fourth proportional to 309,297.18, 463,776.93 and 93,124.38 is: 139,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,297.18 : 463,776.93 = 93,124.38 : x
  2. Step 2: Convert to fraction form
    309,297.18/463,776.93 = 93,124.38/x
  3. Step 3: Cross multiply
    309,297.18x = 463,776.93 × 93,124.38
  4. Step 4: Simplify right side
    309,297.18x = 43,188,939,064.55
  5. Step 5: Solve for x
    x = 43,188,939,064.55/309,297.18
  6. Step 6: Final answer
    x = 139,635.74

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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.