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Finding the Fourth Proportional to 241,072.80, 361,525.32 and 98,877.12

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Solution

The fourth proportional to 241,072.80, 361,525.32 and 98,877.12 is: 148,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,072.80 : 361,525.32 = 98,877.12 : x
  2. Step 2: Convert to fraction form
    241,072.80/361,525.32 = 98,877.12/x
  3. Step 3: Cross multiply
    241,072.80x = 361,525.32 × 98,877.12
  4. Step 4: Simplify right side
    241,072.80x = 35,746,582,448.68
  5. Step 5: Solve for x
    x = 35,746,582,448.68/241,072.80
  6. Step 6: Final answer
    x = 148,281.28

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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.