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Finding the Fourth Proportional to 98,814.40, 148,221.60 and 46,274.56

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Solution

The fourth proportional to 98,814.40, 148,221.60 and 46,274.56 is: 69,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,814.40 : 148,221.60 = 46,274.56 : x
  2. Step 2: Convert to fraction form
    98,814.40/148,221.60 = 46,274.56/x
  3. Step 3: Cross multiply
    98,814.40x = 148,221.60 × 46,274.56
  4. Step 4: Simplify right side
    98,814.40x = 6,858,889,322.50
  5. Step 5: Solve for x
    x = 6,858,889,322.50/98,814.40
  6. Step 6: Final answer
    x = 69,411.84

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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.