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Finding the Fourth Proportional to 264,345.78, 364,962.30 and 181,702.02

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Solution

The fourth proportional to 264,345.78, 364,962.30 and 181,702.02 is: 250,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,345.78 : 364,962.30 = 181,702.02 : x
  2. Step 2: Convert to fraction form
    264,345.78/364,962.30 = 181,702.02/x
  3. Step 3: Cross multiply
    264,345.78x = 364,962.30 × 181,702.02
  4. Step 4: Simplify right side
    264,345.78x = 66,314,387,133.85
  5. Step 5: Solve for x
    x = 66,314,387,133.85/264,345.78
  6. Step 6: Final answer
    x = 250,862.29

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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.