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Finding the Fourth Proportional to 189,022.70, 260,848.40 and 104,142.80

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Solution

The fourth proportional to 189,022.70, 260,848.40 and 104,142.80 is: 143,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,022.70 : 260,848.40 = 104,142.80 : x
  2. Step 2: Convert to fraction form
    189,022.70/260,848.40 = 104,142.80/x
  3. Step 3: Cross multiply
    189,022.70x = 260,848.40 × 104,142.80
  4. Step 4: Simplify right side
    189,022.70x = 27,165,482,751.52
  5. Step 5: Solve for x
    x = 27,165,482,751.52/189,022.70
  6. Step 6: Final answer
    x = 143,715.45

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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.