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Finding the Fourth Proportional to 264,829.50, 365,464.71 and 145,597.50

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Solution

The fourth proportional to 264,829.50, 365,464.71 and 145,597.50 is: 200,924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,829.50 : 365,464.71 = 145,597.50 : x
  2. Step 2: Convert to fraction form
    264,829.50/365,464.71 = 145,597.50/x
  3. Step 3: Cross multiply
    264,829.50x = 365,464.71 × 145,597.50
  4. Step 4: Simplify right side
    264,829.50x = 53,210,748,114.23
  5. Step 5: Solve for x
    x = 53,210,748,114.23/264,829.50
  6. Step 6: Final answer
    x = 200,924.55

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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.