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Finding the Fourth Proportional to 264,214.89, 364,616.55 and 151,040.07

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Solution

The fourth proportional to 264,214.89, 364,616.55 and 151,040.07 is: 208,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,214.89 : 364,616.55 = 151,040.07 : x
  2. Step 2: Convert to fraction form
    264,214.89/364,616.55 = 151,040.07/x
  3. Step 3: Cross multiply
    264,214.89x = 364,616.55 × 151,040.07
  4. Step 4: Simplify right side
    264,214.89x = 55,071,709,235.16
  5. Step 5: Solve for x
    x = 55,071,709,235.16/264,214.89
  6. Step 6: Final answer
    x = 208,435.30

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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.