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Finding the Fourth Proportional to 97,998.86, 146,813.31 and 57,898.19

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Solution

The fourth proportional to 97,998.86, 146,813.31 and 57,898.19 is: 86,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998.86 : 146,813.31 = 57,898.19 : x
  2. Step 2: Convert to fraction form
    97,998.86/146,813.31 = 57,898.19/x
  3. Step 3: Cross multiply
    97,998.86x = 146,813.31 × 57,898.19
  4. Step 4: Simplify right side
    97,998.86x = 8,500,225,283.94
  5. Step 5: Solve for x
    x = 8,500,225,283.94/97,998.86
  6. Step 6: Final answer
    x = 86,738.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.