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Finding the Fourth Proportional to 152,054.40, 228,078 and 41,246.40

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Solution

The fourth proportional to 152,054.40, 228,078 and 41,246.40 is: 61,868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,054.40 : 228,078 = 41,246.40 : x
  2. Step 2: Convert to fraction form
    152,054.40/228,078 = 41,246.40/x
  3. Step 3: Cross multiply
    152,054.40x = 228,078 × 41,246.40
  4. Step 4: Simplify right side
    152,054.40x = 9,407,396,419.20
  5. Step 5: Solve for x
    x = 9,407,396,419.20/152,054.40
  6. Step 6: Final answer
    x = 61,868.62

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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.