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Finding the Fourth Proportional to 106,463.09, 158,822.17 and 103,567.01

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Solution

The fourth proportional to 106,463.09, 158,822.17 and 103,567.01 is: 154,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,463.09 : 158,822.17 = 103,567.01 : x
  2. Step 2: Convert to fraction form
    106,463.09/158,822.17 = 103,567.01/x
  3. Step 3: Cross multiply
    106,463.09x = 158,822.17 × 103,567.01
  4. Step 4: Simplify right side
    106,463.09x = 16,448,736,215.58
  5. Step 5: Solve for x
    x = 16,448,736,215.58/106,463.09
  6. Step 6: Final answer
    x = 154,501.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.