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Finding the Fourth Proportional to 164,159.95, 226,558.74 and 95,264.59

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Solution

The fourth proportional to 164,159.95, 226,558.74 and 95,264.59 is: 131,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,159.95 : 226,558.74 = 95,264.59 : x
  2. Step 2: Convert to fraction form
    164,159.95/226,558.74 = 95,264.59/x
  3. Step 3: Cross multiply
    164,159.95x = 226,558.74 × 95,264.59
  4. Step 4: Simplify right side
    164,159.95x = 21,583,025,477.02
  5. Step 5: Solve for x
    x = 21,583,025,477.02/164,159.95
  6. Step 6: Final answer
    x = 131,475.59

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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.