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Finding the Fourth Proportional to 178,970.40, 268,449.42 and 45,851.98

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Solution

The fourth proportional to 178,970.40, 268,449.42 and 45,851.98 is: 68,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,970.40 : 268,449.42 = 45,851.98 : x
  2. Step 2: Convert to fraction form
    178,970.40/268,449.42 = 45,851.98/x
  3. Step 3: Cross multiply
    178,970.40x = 268,449.42 × 45,851.98
  4. Step 4: Simplify right side
    178,970.40x = 12,308,937,436.85
  5. Step 5: Solve for x
    x = 12,308,937,436.85/178,970.40
  6. Step 6: Final answer
    x = 68,776.39

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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.