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Finding the Fourth Proportional to 201,104.86, 301,657.02 and 51,345.18

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Solution

The fourth proportional to 201,104.86, 301,657.02 and 51,345.18 is: 77,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,104.86 : 301,657.02 = 51,345.18 : x
  2. Step 2: Convert to fraction form
    201,104.86/301,657.02 = 51,345.18/x
  3. Step 3: Cross multiply
    201,104.86x = 301,657.02 × 51,345.18
  4. Step 4: Simplify right side
    201,104.86x = 15,488,633,990.16
  5. Step 5: Solve for x
    x = 15,488,633,990.16/201,104.86
  6. Step 6: Final answer
    x = 77,017.70

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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.