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Finding the Fourth Proportional to 98,690.80, 148,036.20 and 46,202.80

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Solution

The fourth proportional to 98,690.80, 148,036.20 and 46,202.80 is: 69,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,690.80 : 148,036.20 = 46,202.80 : x
  2. Step 2: Convert to fraction form
    98,690.80/148,036.20 = 46,202.80/x
  3. Step 3: Cross multiply
    98,690.80x = 148,036.20 × 46,202.80
  4. Step 4: Simplify right side
    98,690.80x = 6,839,686,941.36
  5. Step 5: Solve for x
    x = 6,839,686,941.36/98,690.80
  6. Step 6: Final answer
    x = 69,304.20

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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.