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Finding the Fourth Proportional to 216,659.24, 299,064.90 and 148,900.50

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Solution

The fourth proportional to 216,659.24, 299,064.90 and 148,900.50 is: 205,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,659.24 : 299,064.90 = 148,900.50 : x
  2. Step 2: Convert to fraction form
    216,659.24/299,064.90 = 148,900.50/x
  3. Step 3: Cross multiply
    216,659.24x = 299,064.90 × 148,900.50
  4. Step 4: Simplify right side
    216,659.24x = 44,530,913,142.45
  5. Step 5: Solve for x
    x = 44,530,913,142.45/216,659.24
  6. Step 6: Final answer
    x = 205,534.34

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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.