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Finding the Fourth Proportional to 152,830.40, 229,310.40 and 96,713.60

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Solution

The fourth proportional to 152,830.40, 229,310.40 and 96,713.60 is: 145,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,830.40 : 229,310.40 = 96,713.60 : x
  2. Step 2: Convert to fraction form
    152,830.40/229,310.40 = 96,713.60/x
  3. Step 3: Cross multiply
    152,830.40x = 229,310.40 × 96,713.60
  4. Step 4: Simplify right side
    152,830.40x = 22,177,434,301.44
  5. Step 5: Solve for x
    x = 22,177,434,301.44/152,830.40
  6. Step 6: Final answer
    x = 145,111.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.