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Finding the Fourth Proportional to 109,501.40, 163,944.90 and 106,429.40

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Solution

The fourth proportional to 109,501.40, 163,944.90 and 106,429.40 is: 159,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,501.40 : 163,944.90 = 106,429.40 : x
  2. Step 2: Convert to fraction form
    109,501.40/163,944.90 = 106,429.40/x
  3. Step 3: Cross multiply
    109,501.40x = 163,944.90 × 106,429.40
  4. Step 4: Simplify right side
    109,501.40x = 17,448,557,340.06
  5. Step 5: Solve for x
    x = 17,448,557,340.06/109,501.40
  6. Step 6: Final answer
    x = 159,345.52

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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.