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Finding the Fourth Proportional to 152,604, 228,912.48 and 41,796

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Solution

The fourth proportional to 152,604, 228,912.48 and 41,796 is: 62,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,604 : 228,912.48 = 41,796 : x
  2. Step 2: Convert to fraction form
    152,604/228,912.48 = 41,796/x
  3. Step 3: Cross multiply
    152,604x = 228,912.48 × 41,796
  4. Step 4: Simplify right side
    152,604x = 9,567,626,014.08
  5. Step 5: Solve for x
    x = 9,567,626,014.08/152,604
  6. Step 6: Final answer
    x = 62,695.77

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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.