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Finding the Fourth Proportional to 127,046.60, 190,590.62 and 52,146.64

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Solution

The fourth proportional to 127,046.60, 190,590.62 and 52,146.64 is: 78,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,046.60 : 190,590.62 = 52,146.64 : x
  2. Step 2: Convert to fraction form
    127,046.60/190,590.62 = 52,146.64/x
  3. Step 3: Cross multiply
    127,046.60x = 190,590.62 × 52,146.64
  4. Step 4: Simplify right side
    127,046.60x = 9,938,660,448.52
  5. Step 5: Solve for x
    x = 9,938,660,448.52/127,046.60
  6. Step 6: Final answer
    x = 78,228.46

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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.