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Finding the Fourth Proportional to 210,152.44, 315,231.40 and 69,911.06

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Solution

The fourth proportional to 210,152.44, 315,231.40 and 69,911.06 is: 104,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,152.44 : 315,231.40 = 69,911.06 : x
  2. Step 2: Convert to fraction form
    210,152.44/315,231.40 = 69,911.06/x
  3. Step 3: Cross multiply
    210,152.44x = 315,231.40 × 69,911.06
  4. Step 4: Simplify right side
    210,152.44x = 22,038,161,319.28
  5. Step 5: Solve for x
    x = 22,038,161,319.28/210,152.44
  6. Step 6: Final answer
    x = 104,867.50

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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.