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Finding the Fourth Proportional to 271,283.50, 406,925.25 and 105,071.50

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Solution

The fourth proportional to 271,283.50, 406,925.25 and 105,071.50 is: 157,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,283.50 : 406,925.25 = 105,071.50 : x
  2. Step 2: Convert to fraction form
    271,283.50/406,925.25 = 105,071.50/x
  3. Step 3: Cross multiply
    271,283.50x = 406,925.25 × 105,071.50
  4. Step 4: Simplify right side
    271,283.50x = 42,756,246,405.38
  5. Step 5: Solve for x
    x = 42,756,246,405.38/271,283.50
  6. Step 6: Final answer
    x = 157,607.25

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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.