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Finding the Fourth Proportional to 104,697, 157,095.90 and 52,111.08

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Solution

The fourth proportional to 104,697, 157,095.90 and 52,111.08 is: 78,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,697 : 157,095.90 = 52,111.08 : x
  2. Step 2: Convert to fraction form
    104,697/157,095.90 = 52,111.08/x
  3. Step 3: Cross multiply
    104,697x = 157,095.90 × 52,111.08
  4. Step 4: Simplify right side
    104,697x = 8,186,437,012.57
  5. Step 5: Solve for x
    x = 8,186,437,012.57/104,697
  6. Step 6: Final answer
    x = 78,191.71

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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.