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Finding the Fourth Proportional to 98,764.80, 148,194.36 and 46,166.64

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Solution

The fourth proportional to 98,764.80, 148,194.36 and 46,166.64 is: 69,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,764.80 : 148,194.36 = 46,166.64 : x
  2. Step 2: Convert to fraction form
    98,764.80/148,194.36 = 46,166.64/x
  3. Step 3: Cross multiply
    98,764.80x = 148,194.36 × 46,166.64
  4. Step 4: Simplify right side
    98,764.80x = 6,841,635,668.15
  5. Step 5: Solve for x
    x = 6,841,635,668.15/98,764.80
  6. Step 6: Final answer
    x = 69,272.00

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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.