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Finding the Fourth Proportional to 189,370.53, 284,055.44 and 110,429.40

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Solution

The fourth proportional to 189,370.53, 284,055.44 and 110,429.40 is: 165,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,370.53 : 284,055.44 = 110,429.40 : x
  2. Step 2: Convert to fraction form
    189,370.53/284,055.44 = 110,429.40/x
  3. Step 3: Cross multiply
    189,370.53x = 284,055.44 × 110,429.40
  4. Step 4: Simplify right side
    189,370.53x = 31,368,071,253.79
  5. Step 5: Solve for x
    x = 31,368,071,253.79/189,370.53
  6. Step 6: Final answer
    x = 165,643.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.