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Finding the Fourth Proportional to 235,864.40, 353,796.60 and 78,117.20

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Solution

The fourth proportional to 235,864.40, 353,796.60 and 78,117.20 is: 117,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,864.40 : 353,796.60 = 78,117.20 : x
  2. Step 2: Convert to fraction form
    235,864.40/353,796.60 = 78,117.20/x
  3. Step 3: Cross multiply
    235,864.40x = 353,796.60 × 78,117.20
  4. Step 4: Simplify right side
    235,864.40x = 27,637,599,761.52
  5. Step 5: Solve for x
    x = 27,637,599,761.52/235,864.40
  6. Step 6: Final answer
    x = 117,175.80

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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.