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Finding the Fourth Proportional to 105,854.60, 158,652.30 and 46,627.40

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Solution

The fourth proportional to 105,854.60, 158,652.30 and 46,627.40 is: 69,884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,854.60 : 158,652.30 = 46,627.40 : x
  2. Step 2: Convert to fraction form
    105,854.60/158,652.30 = 46,627.40/x
  3. Step 3: Cross multiply
    105,854.60x = 158,652.30 × 46,627.40
  4. Step 4: Simplify right side
    105,854.60x = 7,397,544,253.02
  5. Step 5: Solve for x
    x = 7,397,544,253.02/105,854.60
  6. Step 6: Final answer
    x = 69,884.01

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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.