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Finding the Fourth Proportional to 152,009.40, 228,014.10 and 96,022.20

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Solution

The fourth proportional to 152,009.40, 228,014.10 and 96,022.20 is: 144,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,009.40 : 228,014.10 = 96,022.20 : x
  2. Step 2: Convert to fraction form
    152,009.40/228,014.10 = 96,022.20/x
  3. Step 3: Cross multiply
    152,009.40x = 228,014.10 × 96,022.20
  4. Step 4: Simplify right side
    152,009.40x = 21,894,415,513.02
  5. Step 5: Solve for x
    x = 21,894,415,513.02/152,009.40
  6. Step 6: Final answer
    x = 144,033.30

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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.