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Finding the Fourth Proportional to 271,903.95, 407,897.37 and 138,711.56

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Solution

The fourth proportional to 271,903.95, 407,897.37 and 138,711.56 is: 208,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,903.95 : 407,897.37 = 138,711.56 : x
  2. Step 2: Convert to fraction form
    271,903.95/407,897.37 = 138,711.56/x
  3. Step 3: Cross multiply
    271,903.95x = 407,897.37 × 138,711.56
  4. Step 4: Simplify right side
    271,903.95x = 56,580,078,473.11
  5. Step 5: Solve for x
    x = 56,580,078,473.11/271,903.95
  6. Step 6: Final answer
    x = 208,088.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.