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Finding the Fourth Proportional to 73,114.60, 102,567.80 and 73,114.60

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Solution

The fourth proportional to 73,114.60, 102,567.80 and 73,114.60 is: 102,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,114.60 : 102,567.80 = 73,114.60 : x
  2. Step 2: Convert to fraction form
    73,114.60/102,567.80 = 73,114.60/x
  3. Step 3: Cross multiply
    73,114.60x = 102,567.80 × 73,114.60
  4. Step 4: Simplify right side
    73,114.60x = 7,499,203,669.88
  5. Step 5: Solve for x
    x = 7,499,203,669.88/73,114.60
  6. Step 6: Final answer
    x = 102,567.80

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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.