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Finding the Fourth Proportional to 264,741.12, 365,342.64 and 145,509.12

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Solution

The fourth proportional to 264,741.12, 365,342.64 and 145,509.12 is: 200,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,741.12 : 365,342.64 = 145,509.12 : x
  2. Step 2: Convert to fraction form
    264,741.12/365,342.64 = 145,509.12/x
  3. Step 3: Cross multiply
    264,741.12x = 365,342.64 × 145,509.12
  4. Step 4: Simplify right side
    264,741.12x = 53,160,686,044.88
  5. Step 5: Solve for x
    x = 53,160,686,044.88/264,741.12
  6. Step 6: Final answer
    x = 200,802.53

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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.