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Finding the Fourth Proportional to 114,530.70, 171,832.05 and 55,368.30

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Solution

The fourth proportional to 114,530.70, 171,832.05 and 55,368.30 is: 83,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,530.70 : 171,832.05 = 55,368.30 : x
  2. Step 2: Convert to fraction form
    114,530.70/171,832.05 = 55,368.30/x
  3. Step 3: Cross multiply
    114,530.70x = 171,832.05 × 55,368.30
  4. Step 4: Simplify right side
    114,530.70x = 9,514,048,494.02
  5. Step 5: Solve for x
    x = 9,514,048,494.02/114,530.70
  6. Step 6: Final answer
    x = 83,069.85

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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.