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Finding the Fourth Proportional to 154,751.71, 232,118.01 and 54,898.75

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Solution

The fourth proportional to 154,751.71, 232,118.01 and 54,898.75 is: 82,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,751.71 : 232,118.01 = 54,898.75 : x
  2. Step 2: Convert to fraction form
    154,751.71/232,118.01 = 54,898.75/x
  3. Step 3: Cross multiply
    154,751.71x = 232,118.01 × 54,898.75
  4. Step 4: Simplify right side
    154,751.71x = 12,742,988,601.49
  5. Step 5: Solve for x
    x = 12,742,988,601.49/154,751.71
  6. Step 6: Final answer
    x = 82,344.74

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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.