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Finding the Fourth Proportional to 102,746.40, 154,148.40 and 50,157.60

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Solution

The fourth proportional to 102,746.40, 154,148.40 and 50,157.60 is: 75,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,746.40 : 154,148.40 = 50,157.60 : x
  2. Step 2: Convert to fraction form
    102,746.40/154,148.40 = 50,157.60/x
  3. Step 3: Cross multiply
    102,746.40x = 154,148.40 × 50,157.60
  4. Step 4: Simplify right side
    102,746.40x = 7,731,713,787.84
  5. Step 5: Solve for x
    x = 7,731,713,787.84/102,746.40
  6. Step 6: Final answer
    x = 75,250.46

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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.