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Finding the Fourth Proportional to 264,918.06, 365,722.32 and 204,352.74

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Solution

The fourth proportional to 264,918.06, 365,722.32 and 204,352.74 is: 282,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,918.06 : 365,722.32 = 204,352.74 : x
  2. Step 2: Convert to fraction form
    264,918.06/365,722.32 = 204,352.74/x
  3. Step 3: Cross multiply
    264,918.06x = 365,722.32 × 204,352.74
  4. Step 4: Simplify right side
    264,918.06x = 74,736,358,171.16
  5. Step 5: Solve for x
    x = 74,736,358,171.16/264,918.06
  6. Step 6: Final answer
    x = 282,111.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.