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Finding the Fourth Proportional to 357,145.04, 535,743.48 and 107,846.48

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Solution

The fourth proportional to 357,145.04, 535,743.48 and 107,846.48 is: 161,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,145.04 : 535,743.48 = 107,846.48 : x
  2. Step 2: Convert to fraction form
    357,145.04/535,743.48 = 107,846.48/x
  3. Step 3: Cross multiply
    357,145.04x = 535,743.48 × 107,846.48
  4. Step 4: Simplify right side
    357,145.04x = 57,778,048,500.95
  5. Step 5: Solve for x
    x = 57,778,048,500.95/357,145.04
  6. Step 6: Final answer
    x = 161,777.55

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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.