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Finding the Fourth Proportional to 213,321.60, 319,521.60 and 176,457.60

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Solution

The fourth proportional to 213,321.60, 319,521.60 and 176,457.60 is: 264,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,321.60 : 319,521.60 = 176,457.60 : x
  2. Step 2: Convert to fraction form
    213,321.60/319,521.60 = 176,457.60/x
  3. Step 3: Cross multiply
    213,321.60x = 319,521.60 × 176,457.60
  4. Step 4: Simplify right side
    213,321.60x = 56,382,014,684.16
  5. Step 5: Solve for x
    x = 56,382,014,684.16/213,321.60
  6. Step 6: Final answer
    x = 264,305.23

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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.