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Finding the Fourth Proportional to 229,056, 316,131.84 and 139,683.84

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Solution

The fourth proportional to 229,056, 316,131.84 and 139,683.84 is: 192,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,056 : 316,131.84 = 139,683.84 : x
  2. Step 2: Convert to fraction form
    229,056/316,131.84 = 139,683.84/x
  3. Step 3: Cross multiply
    229,056x = 316,131.84 × 139,683.84
  4. Step 4: Simplify right side
    229,056x = 44,158,509,357.47
  5. Step 5: Solve for x
    x = 44,158,509,357.47/229,056
  6. Step 6: Final answer
    x = 192,784.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.