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Finding the Fourth Proportional to 241,148.75, 361,697.54 and 99,009

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Solution

The fourth proportional to 241,148.75, 361,697.54 and 99,009 is: 148,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,148.75 : 361,697.54 = 99,009 : x
  2. Step 2: Convert to fraction form
    241,148.75/361,697.54 = 99,009/x
  3. Step 3: Cross multiply
    241,148.75x = 361,697.54 × 99,009
  4. Step 4: Simplify right side
    241,148.75x = 35,811,311,242.82
  5. Step 5: Solve for x
    x = 35,811,311,242.82/241,148.75
  6. Step 6: Final answer
    x = 148,503.00

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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.