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Finding the Fourth Proportional to 106,420.17, 146,885.42 and 63,970.50

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Solution

The fourth proportional to 106,420.17, 146,885.42 and 63,970.50 is: 88,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,420.17 : 146,885.42 = 63,970.50 : x
  2. Step 2: Convert to fraction form
    106,420.17/146,885.42 = 63,970.50/x
  3. Step 3: Cross multiply
    106,420.17x = 146,885.42 × 63,970.50
  4. Step 4: Simplify right side
    106,420.17x = 9,396,333,920.04
  5. Step 5: Solve for x
    x = 9,396,333,920.04/106,420.17
  6. Step 6: Final answer
    x = 88,294.67

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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.