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Finding the Fourth Proportional to 127,417.84, 190,962.60 and 52,447.84

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Solution

The fourth proportional to 127,417.84, 190,962.60 and 52,447.84 is: 78,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,417.84 : 190,962.60 = 52,447.84 : x
  2. Step 2: Convert to fraction form
    127,417.84/190,962.60 = 52,447.84/x
  3. Step 3: Cross multiply
    127,417.84x = 190,962.60 × 52,447.84
  4. Step 4: Simplify right side
    127,417.84x = 10,015,575,890.78
  5. Step 5: Solve for x
    x = 10,015,575,890.78/127,417.84
  6. Step 6: Final answer
    x = 78,604.19

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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.