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Finding the Fourth Proportional to 271,802.70, 375,090 and 150,946

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Solution

The fourth proportional to 271,802.70, 375,090 and 150,946 is: 208,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,802.70 : 375,090 = 150,946 : x
  2. Step 2: Convert to fraction form
    271,802.70/375,090 = 150,946/x
  3. Step 3: Cross multiply
    271,802.70x = 375,090 × 150,946
  4. Step 4: Simplify right side
    271,802.70x = 56,618,335,140
  5. Step 5: Solve for x
    x = 56,618,335,140/271,802.70
  6. Step 6: Final answer
    x = 208,306.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.