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Finding the Fourth Proportional to 103,084.83, 154,608.98 and 46,911.87

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Solution

The fourth proportional to 103,084.83, 154,608.98 and 46,911.87 is: 70,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,084.83 : 154,608.98 = 46,911.87 : x
  2. Step 2: Convert to fraction form
    103,084.83/154,608.98 = 46,911.87/x
  3. Step 3: Cross multiply
    103,084.83x = 154,608.98 × 46,911.87
  4. Step 4: Simplify right side
    103,084.83x = 7,252,996,136.03
  5. Step 5: Solve for x
    x = 7,252,996,136.03/103,084.83
  6. Step 6: Final answer
    x = 70,359.49

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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.