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Finding the Fourth Proportional to 99,089.08, 148,682.22 and 46,502.84

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Solution

The fourth proportional to 99,089.08, 148,682.22 and 46,502.84 is: 69,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,089.08 : 148,682.22 = 46,502.84 : x
  2. Step 2: Convert to fraction form
    99,089.08/148,682.22 = 46,502.84/x
  3. Step 3: Cross multiply
    99,089.08x = 148,682.22 × 46,502.84
  4. Step 4: Simplify right side
    99,089.08x = 6,914,145,487.50
  5. Step 5: Solve for x
    x = 6,914,145,487.50/99,089.08
  6. Step 6: Final answer
    x = 69,777.07

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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.