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Finding the Fourth Proportional to 119,361.76, 164,723.76 and 65,649.28

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Solution

The fourth proportional to 119,361.76, 164,723.76 and 65,649.28 is: 90,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,361.76 : 164,723.76 = 65,649.28 : x
  2. Step 2: Convert to fraction form
    119,361.76/164,723.76 = 65,649.28/x
  3. Step 3: Cross multiply
    119,361.76x = 164,723.76 × 65,649.28
  4. Step 4: Simplify right side
    119,361.76x = 10,813,996,242.89
  5. Step 5: Solve for x
    x = 10,813,996,242.89/119,361.76
  6. Step 6: Final answer
    x = 90,598.50

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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.