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Finding the Fourth Proportional to 106,491.42, 146,983.77 and 64,041.75

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Solution

The fourth proportional to 106,491.42, 146,983.77 and 64,041.75 is: 88,393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,491.42 : 146,983.77 = 64,041.75 : x
  2. Step 2: Convert to fraction form
    106,491.42/146,983.77 = 64,041.75/x
  3. Step 3: Cross multiply
    106,491.42x = 146,983.77 × 64,041.75
  4. Step 4: Simplify right side
    106,491.42x = 9,413,097,852.40
  5. Step 5: Solve for x
    x = 9,413,097,852.40/106,491.42
  6. Step 6: Final answer
    x = 88,393.02

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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.