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Finding the Fourth Proportional to 101,409.40, 152,114.10 and 75,165.40

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Solution

The fourth proportional to 101,409.40, 152,114.10 and 75,165.40 is: 112,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,409.40 : 152,114.10 = 75,165.40 : x
  2. Step 2: Convert to fraction form
    101,409.40/152,114.10 = 75,165.40/x
  3. Step 3: Cross multiply
    101,409.40x = 152,114.10 × 75,165.40
  4. Step 4: Simplify right side
    101,409.40x = 11,433,717,172.14
  5. Step 5: Solve for x
    x = 11,433,717,172.14/101,409.40
  6. Step 6: Final answer
    x = 112,748.10

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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.