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Finding the Fourth Proportional to 98,846.94, 136,411.14 and 56,409.42

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Solution

The fourth proportional to 98,846.94, 136,411.14 and 56,409.42 is: 77,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,846.94 : 136,411.14 = 56,409.42 : x
  2. Step 2: Convert to fraction form
    98,846.94/136,411.14 = 56,409.42/x
  3. Step 3: Cross multiply
    98,846.94x = 136,411.14 × 56,409.42
  4. Step 4: Simplify right side
    98,846.94x = 7,694,873,288.94
  5. Step 5: Solve for x
    x = 7,694,873,288.94/98,846.94
  6. Step 6: Final answer
    x = 77,846.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.