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Finding the Fourth Proportional to 306,224.64, 459,371.52 and 139,968

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Solution

The fourth proportional to 306,224.64, 459,371.52 and 139,968 is: 209,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,224.64 : 459,371.52 = 139,968 : x
  2. Step 2: Convert to fraction form
    306,224.64/459,371.52 = 139,968/x
  3. Step 3: Cross multiply
    306,224.64x = 459,371.52 × 139,968
  4. Step 4: Simplify right side
    306,224.64x = 64,297,312,911.36
  5. Step 5: Solve for x
    x = 64,297,312,911.36/306,224.64
  6. Step 6: Final answer
    x = 209,967.80

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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.