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Finding the Fourth Proportional to 357,127.44, 535,675.80 and 107,802

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Solution

The fourth proportional to 357,127.44, 535,675.80 and 107,802 is: 161,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,127.44 : 535,675.80 = 107,802 : x
  2. Step 2: Convert to fraction form
    357,127.44/535,675.80 = 107,802/x
  3. Step 3: Cross multiply
    357,127.44x = 535,675.80 × 107,802
  4. Step 4: Simplify right side
    357,127.44x = 57,746,922,591.60
  5. Step 5: Solve for x
    x = 57,746,922,591.60/357,127.44
  6. Step 6: Final answer
    x = 161,698.36

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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.