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Finding the Fourth Proportional to 105,863.60, 158,665.80 and 46,636.40

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Solution

The fourth proportional to 105,863.60, 158,665.80 and 46,636.40 is: 69,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,863.60 : 158,665.80 = 46,636.40 : x
  2. Step 2: Convert to fraction form
    105,863.60/158,665.80 = 46,636.40/x
  3. Step 3: Cross multiply
    105,863.60x = 158,665.80 × 46,636.40
  4. Step 4: Simplify right side
    105,863.60x = 7,399,601,715.12
  5. Step 5: Solve for x
    x = 7,399,601,715.12/105,863.60
  6. Step 6: Final answer
    x = 69,897.51

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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.