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Finding the Fourth Proportional to 264,302.10, 395,643.15 and 145,610.10

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Solution

The fourth proportional to 264,302.10, 395,643.15 and 145,610.10 is: 217,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,302.10 : 395,643.15 = 145,610.10 : x
  2. Step 2: Convert to fraction form
    264,302.10/395,643.15 = 145,610.10/x
  3. Step 3: Cross multiply
    264,302.10x = 395,643.15 × 145,610.10
  4. Step 4: Simplify right side
    264,302.10x = 57,609,638,635.82
  5. Step 5: Solve for x
    x = 57,609,638,635.82/264,302.10
  6. Step 6: Final answer
    x = 217,968.90

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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.