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Finding the Fourth Proportional to 271,681.40, 407,829.30 and 160,935.80

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Solution

The fourth proportional to 271,681.40, 407,829.30 and 160,935.80 is: 241,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,681.40 : 407,829.30 = 160,935.80 : x
  2. Step 2: Convert to fraction form
    271,681.40/407,829.30 = 160,935.80/x
  3. Step 3: Cross multiply
    271,681.40x = 407,829.30 × 160,935.80
  4. Step 4: Simplify right side
    271,681.40x = 65,634,334,658.94
  5. Step 5: Solve for x
    x = 65,634,334,658.94/271,681.40
  6. Step 6: Final answer
    x = 241,585.68

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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.