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Finding the Fourth Proportional to 102,322.01, 153,493.68 and 39,142.01

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Solution

The fourth proportional to 102,322.01, 153,493.68 and 39,142.01 is: 58,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,322.01 : 153,493.68 = 39,142.01 : x
  2. Step 2: Convert to fraction form
    102,322.01/153,493.68 = 39,142.01/x
  3. Step 3: Cross multiply
    102,322.01x = 153,493.68 × 39,142.01
  4. Step 4: Simplify right side
    102,322.01x = 6,008,051,157.50
  5. Step 5: Solve for x
    x = 6,008,051,157.50/102,322.01
  6. Step 6: Final answer
    x = 58,717.09

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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.