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Finding the Fourth Proportional to 114,530.02, 171,653.64 and 83,048.14

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Solution

The fourth proportional to 114,530.02, 171,653.64 and 83,048.14 is: 124,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,530.02 : 171,653.64 = 83,048.14 : x
  2. Step 2: Convert to fraction form
    114,530.02/171,653.64 = 83,048.14/x
  3. Step 3: Cross multiply
    114,530.02x = 171,653.64 × 83,048.14
  4. Step 4: Simplify right side
    114,530.02x = 14,255,515,526.23
  5. Step 5: Solve for x
    x = 14,255,515,526.23/114,530.02
  6. Step 6: Final answer
    x = 124,469.69

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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.