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Finding the Fourth Proportional to 101,427.60, 152,141.40 and 101,427.60

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Solution

The fourth proportional to 101,427.60, 152,141.40 and 101,427.60 is: 152,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,427.60 : 152,141.40 = 101,427.60 : x
  2. Step 2: Convert to fraction form
    101,427.60/152,141.40 = 101,427.60/x
  3. Step 3: Cross multiply
    101,427.60x = 152,141.40 × 101,427.60
  4. Step 4: Simplify right side
    101,427.60x = 15,431,337,062.64
  5. Step 5: Solve for x
    x = 15,431,337,062.64/101,427.60
  6. Step 6: Final answer
    x = 152,141.40

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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.