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Finding the Fourth Proportional to 105,867.47, 158,800.28 and 46,703.21

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Solution

The fourth proportional to 105,867.47, 158,800.28 and 46,703.21 is: 70,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,867.47 : 158,800.28 = 46,703.21 : x
  2. Step 2: Convert to fraction form
    105,867.47/158,800.28 = 46,703.21/x
  3. Step 3: Cross multiply
    105,867.47x = 158,800.28 × 46,703.21
  4. Step 4: Simplify right side
    105,867.47x = 7,416,481,797.38
  5. Step 5: Solve for x
    x = 7,416,481,797.38/105,867.47
  6. Step 6: Final answer
    x = 70,054.40

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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.