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Finding the Fourth Proportional to 340,740.98, 511,186.65 and 104,102.11

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Solution

The fourth proportional to 340,740.98, 511,186.65 and 104,102.11 is: 156,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,740.98 : 511,186.65 = 104,102.11 : x
  2. Step 2: Convert to fraction form
    340,740.98/511,186.65 = 104,102.11/x
  3. Step 3: Cross multiply
    340,740.98x = 511,186.65 × 104,102.11
  4. Step 4: Simplify right side
    340,740.98x = 53,215,609,117.43
  5. Step 5: Solve for x
    x = 53,215,609,117.43/340,740.98
  6. Step 6: Final answer
    x = 156,176.14

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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.