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Finding the Fourth Proportional to 264,964, 365,656.08 and 145,732

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Solution

The fourth proportional to 264,964, 365,656.08 and 145,732 is: 201,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,964 : 365,656.08 = 145,732 : x
  2. Step 2: Convert to fraction form
    264,964/365,656.08 = 145,732/x
  3. Step 3: Cross multiply
    264,964x = 365,656.08 × 145,732
  4. Step 4: Simplify right side
    264,964x = 53,287,791,850.56
  5. Step 5: Solve for x
    x = 53,287,791,850.56/264,964
  6. Step 6: Final answer
    x = 201,113.33

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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.