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Finding the Fourth Proportional to 140,079.34, 194,127.29 and 137,421.10

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Solution

The fourth proportional to 140,079.34, 194,127.29 and 137,421.10 is: 190,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,079.34 : 194,127.29 = 137,421.10 : x
  2. Step 2: Convert to fraction form
    140,079.34/194,127.29 = 137,421.10/x
  3. Step 3: Cross multiply
    140,079.34x = 194,127.29 × 137,421.10
  4. Step 4: Simplify right side
    140,079.34x = 26,677,185,731.82
  5. Step 5: Solve for x
    x = 26,677,185,731.82/140,079.34
  6. Step 6: Final answer
    x = 190,443.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.