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Finding the Fourth Proportional to 241,698.60, 362,403.90 and 148,271.40

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Solution

The fourth proportional to 241,698.60, 362,403.90 and 148,271.40 is: 222,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,698.60 : 362,403.90 = 148,271.40 : x
  2. Step 2: Convert to fraction form
    241,698.60/362,403.90 = 148,271.40/x
  3. Step 3: Cross multiply
    241,698.60x = 362,403.90 × 148,271.40
  4. Step 4: Simplify right side
    241,698.60x = 53,734,133,618.46
  5. Step 5: Solve for x
    x = 53,734,133,618.46/241,698.60
  6. Step 6: Final answer
    x = 222,318.76

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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.