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Finding the Fourth Proportional to 106,419.42, 159,541.65 and 42,384.06

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Solution

The fourth proportional to 106,419.42, 159,541.65 and 42,384.06 is: 63,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,419.42 : 159,541.65 = 42,384.06 : x
  2. Step 2: Convert to fraction form
    106,419.42/159,541.65 = 42,384.06/x
  3. Step 3: Cross multiply
    106,419.42x = 159,541.65 × 42,384.06
  4. Step 4: Simplify right side
    106,419.42x = 6,762,022,866.10
  5. Step 5: Solve for x
    x = 6,762,022,866.10/106,419.42
  6. Step 6: Final answer
    x = 63,541.25

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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.