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Finding the Fourth Proportional to 190,906.94, 286,361.20 and 64,547.88

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Solution

The fourth proportional to 190,906.94, 286,361.20 and 64,547.88 is: 96,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,906.94 : 286,361.20 = 64,547.88 : x
  2. Step 2: Convert to fraction form
    190,906.94/286,361.20 = 64,547.88/x
  3. Step 3: Cross multiply
    190,906.94x = 286,361.20 × 64,547.88
  4. Step 4: Simplify right side
    190,906.94x = 18,484,008,374.26
  5. Step 5: Solve for x
    x = 18,484,008,374.26/190,906.94
  6. Step 6: Final answer
    x = 96,822.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.