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Finding the Fourth Proportional to 342,093.80, 513,140.70 and 105,415.40

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Solution

The fourth proportional to 342,093.80, 513,140.70 and 105,415.40 is: 158,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,093.80 : 513,140.70 = 105,415.40 : x
  2. Step 2: Convert to fraction form
    342,093.80/513,140.70 = 105,415.40/x
  3. Step 3: Cross multiply
    342,093.80x = 513,140.70 × 105,415.40
  4. Step 4: Simplify right side
    342,093.80x = 54,092,932,146.78
  5. Step 5: Solve for x
    x = 54,092,932,146.78/342,093.80
  6. Step 6: Final answer
    x = 158,123.10

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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.