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Finding the Fourth Proportional to 271,598.96, 374,810.64 and 149,101.40

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Solution

The fourth proportional to 271,598.96, 374,810.64 and 149,101.40 is: 205,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,598.96 : 374,810.64 = 149,101.40 : x
  2. Step 2: Convert to fraction form
    271,598.96/374,810.64 = 149,101.40/x
  3. Step 3: Cross multiply
    271,598.96x = 374,810.64 × 149,101.40
  4. Step 4: Simplify right side
    271,598.96x = 55,884,791,158.90
  5. Step 5: Solve for x
    x = 55,884,791,158.90/271,598.96
  6. Step 6: Final answer
    x = 205,762.17

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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.