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Finding the Fourth Proportional to 103,223.54, 142,395.96 and 67,434.50

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Solution

The fourth proportional to 103,223.54, 142,395.96 and 67,434.50 is: 93,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,223.54 : 142,395.96 = 67,434.50 : x
  2. Step 2: Convert to fraction form
    103,223.54/142,395.96 = 67,434.50/x
  3. Step 3: Cross multiply
    103,223.54x = 142,395.96 × 67,434.50
  4. Step 4: Simplify right side
    103,223.54x = 9,602,400,364.62
  5. Step 5: Solve for x
    x = 9,602,400,364.62/103,223.54
  6. Step 6: Final answer
    x = 93,025.30

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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.