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Finding the Fourth Proportional to 101,742.40, 152,505.60 and 49,117.60

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Solution

The fourth proportional to 101,742.40, 152,505.60 and 49,117.60 is: 73,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.40 : 152,505.60 = 49,117.60 : x
  2. Step 2: Convert to fraction form
    101,742.40/152,505.60 = 49,117.60/x
  3. Step 3: Cross multiply
    101,742.40x = 152,505.60 × 49,117.60
  4. Step 4: Simplify right side
    101,742.40x = 7,490,709,058.56
  5. Step 5: Solve for x
    x = 7,490,709,058.56/101,742.40
  6. Step 6: Final answer
    x = 73,624.26

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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.