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Finding the Fourth Proportional to 114,257, 171,507.80 and 96,702.20

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Solution

The fourth proportional to 114,257, 171,507.80 and 96,702.20 is: 145,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,257 : 171,507.80 = 96,702.20 : x
  2. Step 2: Convert to fraction form
    114,257/171,507.80 = 96,702.20/x
  3. Step 3: Cross multiply
    114,257x = 171,507.80 × 96,702.20
  4. Step 4: Simplify right side
    114,257x = 16,585,181,577.16
  5. Step 5: Solve for x
    x = 16,585,181,577.16/114,257
  6. Step 6: Final answer
    x = 145,156.81

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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.