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Finding the Fourth Proportional to 147,457.30, 221,186.10 and 36,649.30

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Solution

The fourth proportional to 147,457.30, 221,186.10 and 36,649.30 is: 54,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,457.30 : 221,186.10 = 36,649.30 : x
  2. Step 2: Convert to fraction form
    147,457.30/221,186.10 = 36,649.30/x
  3. Step 3: Cross multiply
    147,457.30x = 221,186.10 × 36,649.30
  4. Step 4: Simplify right side
    147,457.30x = 8,106,315,734.73
  5. Step 5: Solve for x
    x = 8,106,315,734.73/147,457.30
  6. Step 6: Final answer
    x = 54,973.99

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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.