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Finding the Fourth Proportional to 73,114.80, 102,594 and 73,114.80

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Solution

The fourth proportional to 73,114.80, 102,594 and 73,114.80 is: 102,594

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,114.80 : 102,594 = 73,114.80 : x
  2. Step 2: Convert to fraction form
    73,114.80/102,594 = 73,114.80/x
  3. Step 3: Cross multiply
    73,114.80x = 102,594 × 73,114.80
  4. Step 4: Simplify right side
    73,114.80x = 7,501,139,791.20
  5. Step 5: Solve for x
    x = 7,501,139,791.20/73,114.80
  6. Step 6: Final answer
    x = 102,594

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.