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Finding the Fourth Proportional to 374,098.41, 561,371.18 and 137,465.01

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Solution

The fourth proportional to 374,098.41, 561,371.18 and 137,465.01 is: 206,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,098.41 : 561,371.18 = 137,465.01 : x
  2. Step 2: Convert to fraction form
    374,098.41/561,371.18 = 137,465.01/x
  3. Step 3: Cross multiply
    374,098.41x = 561,371.18 × 137,465.01
  4. Step 4: Simplify right side
    374,098.41x = 77,168,894,185.09
  5. Step 5: Solve for x
    x = 77,168,894,185.09/374,098.41
  6. Step 6: Final answer
    x = 206,279.66

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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.