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Finding the Fourth Proportional to 264,818.72, 365,567.64 and 157,423.52

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Solution

The fourth proportional to 264,818.72, 365,567.64 and 157,423.52 is: 217,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,818.72 : 365,567.64 = 157,423.52 : x
  2. Step 2: Convert to fraction form
    264,818.72/365,567.64 = 157,423.52/x
  3. Step 3: Cross multiply
    264,818.72x = 365,567.64 × 157,423.52
  4. Step 4: Simplify right side
    264,818.72x = 57,548,944,686.89
  5. Step 5: Solve for x
    x = 57,548,944,686.89/264,818.72
  6. Step 6: Final answer
    x = 217,314.49

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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.