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Finding the Fourth Proportional to 106,562.90, 160,233.15 and 89,455.70

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Solution

The fourth proportional to 106,562.90, 160,233.15 and 89,455.70 is: 134,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,562.90 : 160,233.15 = 89,455.70 : x
  2. Step 2: Convert to fraction form
    106,562.90/160,233.15 = 89,455.70/x
  3. Step 3: Cross multiply
    106,562.90x = 160,233.15 × 89,455.70
  4. Step 4: Simplify right side
    106,562.90x = 14,333,768,596.46
  5. Step 5: Solve for x
    x = 14,333,768,596.46/106,562.90
  6. Step 6: Final answer
    x = 134,509.93

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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.