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Finding the Fourth Proportional to 208,232.84, 312,407.58 and 83,661.32

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Solution

The fourth proportional to 208,232.84, 312,407.58 and 83,661.32 is: 125,515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,232.84 : 312,407.58 = 83,661.32 : x
  2. Step 2: Convert to fraction form
    208,232.84/312,407.58 = 83,661.32/x
  3. Step 3: Cross multiply
    208,232.84x = 312,407.58 × 83,661.32
  4. Step 4: Simplify right side
    208,232.84x = 26,136,430,520.81
  5. Step 5: Solve for x
    x = 26,136,430,520.81/208,232.84
  6. Step 6: Final answer
    x = 125,515.41

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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.