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Finding the Fourth Proportional to 164,857.52, 247,283.58 and 52,536.24

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Solution

The fourth proportional to 164,857.52, 247,283.58 and 52,536.24 is: 78,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,857.52 : 247,283.58 = 52,536.24 : x
  2. Step 2: Convert to fraction form
    164,857.52/247,283.58 = 52,536.24/x
  3. Step 3: Cross multiply
    164,857.52x = 247,283.58 × 52,536.24
  4. Step 4: Simplify right side
    164,857.52x = 12,991,349,703.95
  5. Step 5: Solve for x
    x = 12,991,349,703.95/164,857.52
  6. Step 6: Final answer
    x = 78,803.50

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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.