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Finding the Fourth Proportional to 210,865.20, 315,947.88 and 148,404.48

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Solution

The fourth proportional to 210,865.20, 315,947.88 and 148,404.48 is: 222,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,865.20 : 315,947.88 = 148,404.48 : x
  2. Step 2: Convert to fraction form
    210,865.20/315,947.88 = 148,404.48/x
  3. Step 3: Cross multiply
    210,865.20x = 315,947.88 × 148,404.48
  4. Step 4: Simplify right side
    210,865.20x = 46,888,080,838.50
  5. Step 5: Solve for x
    x = 46,888,080,838.50/210,865.20
  6. Step 6: Final answer
    x = 222,360.45

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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.