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Finding the Fourth Proportional to 211,180.41, 316,737.57 and 69,024.60

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Solution

The fourth proportional to 211,180.41, 316,737.57 and 69,024.60 is: 103,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,180.41 : 316,737.57 = 69,024.60 : x
  2. Step 2: Convert to fraction form
    211,180.41/316,737.57 = 69,024.60/x
  3. Step 3: Cross multiply
    211,180.41x = 316,737.57 × 69,024.60
  4. Step 4: Simplify right side
    211,180.41x = 21,862,684,074.22
  5. Step 5: Solve for x
    x = 21,862,684,074.22/211,180.41
  6. Step 6: Final answer
    x = 103,526.10

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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.