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Finding the Fourth Proportional to 157,963.52, 236,957.51 and 52,782.86

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Solution

The fourth proportional to 157,963.52, 236,957.51 and 52,782.86 is: 79,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,963.52 : 236,957.51 = 52,782.86 : x
  2. Step 2: Convert to fraction form
    157,963.52/236,957.51 = 52,782.86/x
  3. Step 3: Cross multiply
    157,963.52x = 236,957.51 × 52,782.86
  4. Step 4: Simplify right side
    157,963.52x = 12,507,294,023.45
  5. Step 5: Solve for x
    x = 12,507,294,023.45/157,963.52
  6. Step 6: Final answer
    x = 79,178.37

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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.