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Finding the Fourth Proportional to 152,410.40, 228,802.80 and 96,250.40

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Solution

The fourth proportional to 152,410.40, 228,802.80 and 96,250.40 is: 144,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,410.40 : 228,802.80 = 96,250.40 : x
  2. Step 2: Convert to fraction form
    152,410.40/228,802.80 = 96,250.40/x
  3. Step 3: Cross multiply
    152,410.40x = 228,802.80 × 96,250.40
  4. Step 4: Simplify right side
    152,410.40x = 22,022,361,021.12
  5. Step 5: Solve for x
    x = 22,022,361,021.12/152,410.40
  6. Step 6: Final answer
    x = 144,493.82

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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.