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Finding the Fourth Proportional to 114,307.80, 171,459.78 and 31,201.80

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Solution

The fourth proportional to 114,307.80, 171,459.78 and 31,201.80 is: 46,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,307.80 : 171,459.78 = 31,201.80 : x
  2. Step 2: Convert to fraction form
    114,307.80/171,459.78 = 31,201.80/x
  3. Step 3: Cross multiply
    114,307.80x = 171,459.78 × 31,201.80
  4. Step 4: Simplify right side
    114,307.80x = 5,349,853,763.60
  5. Step 5: Solve for x
    x = 5,349,853,763.60/114,307.80
  6. Step 6: Final answer
    x = 46,802.18

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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.