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Finding the Fourth Proportional to 77,208.02, 105,574.16 and 77,208.02

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Solution

The fourth proportional to 77,208.02, 105,574.16 and 77,208.02 is: 105,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,208.02 : 105,574.16 = 77,208.02 : x
  2. Step 2: Convert to fraction form
    77,208.02/105,574.16 = 77,208.02/x
  3. Step 3: Cross multiply
    77,208.02x = 105,574.16 × 77,208.02
  4. Step 4: Simplify right side
    77,208.02x = 8,151,170,942.85
  5. Step 5: Solve for x
    x = 8,151,170,942.85/77,208.02
  6. Step 6: Final answer
    x = 105,574.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.