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Finding the Fourth Proportional to 114,253.44, 157,669.76 and 63,952

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Solution

The fourth proportional to 114,253.44, 157,669.76 and 63,952 is: 88,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,253.44 : 157,669.76 = 63,952 : x
  2. Step 2: Convert to fraction form
    114,253.44/157,669.76 = 63,952/x
  3. Step 3: Cross multiply
    114,253.44x = 157,669.76 × 63,952
  4. Step 4: Simplify right side
    114,253.44x = 10,083,296,491.52
  5. Step 5: Solve for x
    x = 10,083,296,491.52/114,253.44
  6. Step 6: Final answer
    x = 88,253.77

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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.