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Finding the Fourth Proportional to 73,543.60, 102,739.10 and 73,543.60

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Solution

The fourth proportional to 73,543.60, 102,739.10 and 73,543.60 is: 102,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,543.60 : 102,739.10 = 73,543.60 : x
  2. Step 2: Convert to fraction form
    73,543.60/102,739.10 = 73,543.60/x
  3. Step 3: Cross multiply
    73,543.60x = 102,739.10 × 73,543.60
  4. Step 4: Simplify right side
    73,543.60x = 7,555,803,274.76
  5. Step 5: Solve for x
    x = 7,555,803,274.76/73,543.60
  6. Step 6: Final answer
    x = 102,739.10

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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.