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Finding the Fourth Proportional to 190,995.94, 286,315.84 and 64,547.76

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Solution

The fourth proportional to 190,995.94, 286,315.84 and 64,547.76 is: 96,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,995.94 : 286,315.84 = 64,547.76 : x
  2. Step 2: Convert to fraction form
    190,995.94/286,315.84 = 64,547.76/x
  3. Step 3: Cross multiply
    190,995.94x = 286,315.84 × 64,547.76
  4. Step 4: Simplify right side
    190,995.94x = 18,481,046,124.52
  5. Step 5: Solve for x
    x = 18,481,046,124.52/190,995.94
  6. Step 6: Final answer
    x = 96,761.46

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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.