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Finding the Fourth Proportional to 213,468.60, 319,742.10 and 176,604.60

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Solution

The fourth proportional to 213,468.60, 319,742.10 and 176,604.60 is: 264,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,468.60 : 319,742.10 = 176,604.60 : x
  2. Step 2: Convert to fraction form
    213,468.60/319,742.10 = 176,604.60/x
  3. Step 3: Cross multiply
    213,468.60x = 319,742.10 × 176,604.60
  4. Step 4: Simplify right side
    213,468.60x = 56,467,925,673.66
  5. Step 5: Solve for x
    x = 56,467,925,673.66/213,468.60
  6. Step 6: Final answer
    x = 264,525.68

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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.