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Finding the Fourth Proportional to 342,290, 513,503.40 and 105,623.76

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Solution

The fourth proportional to 342,290, 513,503.40 and 105,623.76 is: 158,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,290 : 513,503.40 = 105,623.76 : x
  2. Step 2: Convert to fraction form
    342,290/513,503.40 = 105,623.76/x
  3. Step 3: Cross multiply
    342,290x = 513,503.40 × 105,623.76
  4. Step 4: Simplify right side
    342,290x = 54,238,159,880.78
  5. Step 5: Solve for x
    x = 54,238,159,880.78/342,290
  6. Step 6: Final answer
    x = 158,456.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.