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Finding the Fourth Proportional to 107,153.20, 147,700.65 and 84,457

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Solution

The fourth proportional to 107,153.20, 147,700.65 and 84,457 is: 116,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,153.20 : 147,700.65 = 84,457 : x
  2. Step 2: Convert to fraction form
    107,153.20/147,700.65 = 84,457/x
  3. Step 3: Cross multiply
    107,153.20x = 147,700.65 × 84,457
  4. Step 4: Simplify right side
    107,153.20x = 12,474,353,797.05
  5. Step 5: Solve for x
    x = 12,474,353,797.05/107,153.20
  6. Step 6: Final answer
    x = 116,416.06

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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.