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Finding the Fourth Proportional to 271,968.90, 375,295.14 and 157,254.90

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Solution

The fourth proportional to 271,968.90, 375,295.14 and 157,254.90 is: 216,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,968.90 : 375,295.14 = 157,254.90 : x
  2. Step 2: Convert to fraction form
    271,968.90/375,295.14 = 157,254.90/x
  3. Step 3: Cross multiply
    271,968.90x = 375,295.14 × 157,254.90
  4. Step 4: Simplify right side
    271,968.90x = 59,016,999,711.19
  5. Step 5: Solve for x
    x = 59,016,999,711.19/271,968.90
  6. Step 6: Final answer
    x = 216,999.07

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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.