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Finding the Fourth Proportional to 195,364.40, 293,046.60 and 116,567.60

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Solution

The fourth proportional to 195,364.40, 293,046.60 and 116,567.60 is: 174,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,364.40 : 293,046.60 = 116,567.60 : x
  2. Step 2: Convert to fraction form
    195,364.40/293,046.60 = 116,567.60/x
  3. Step 3: Cross multiply
    195,364.40x = 293,046.60 × 116,567.60
  4. Step 4: Simplify right side
    195,364.40x = 34,159,738,850.16
  5. Step 5: Solve for x
    x = 34,159,738,850.16/195,364.40
  6. Step 6: Final answer
    x = 174,851.40

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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.