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Finding the Fourth Proportional to 210,573.90, 315,826.24 and 75,610.02

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Solution

The fourth proportional to 210,573.90, 315,826.24 and 75,610.02 is: 113,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,573.90 : 315,826.24 = 75,610.02 : x
  2. Step 2: Convert to fraction form
    210,573.90/315,826.24 = 75,610.02/x
  3. Step 3: Cross multiply
    210,573.90x = 315,826.24 × 75,610.02
  4. Step 4: Simplify right side
    210,573.90x = 23,879,628,322.92
  5. Step 5: Solve for x
    x = 23,879,628,322.92/210,573.90
  6. Step 6: Final answer
    x = 113,402.60

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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.