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Finding the Fourth Proportional to 158,657.60, 237,986.40 and 53,465.60

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Solution

The fourth proportional to 158,657.60, 237,986.40 and 53,465.60 is: 80,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,657.60 : 237,986.40 = 53,465.60 : x
  2. Step 2: Convert to fraction form
    158,657.60/237,986.40 = 53,465.60/x
  3. Step 3: Cross multiply
    158,657.60x = 237,986.40 × 53,465.60
  4. Step 4: Simplify right side
    158,657.60x = 12,724,085,667.84
  5. Step 5: Solve for x
    x = 12,724,085,667.84/158,657.60
  6. Step 6: Final answer
    x = 80,198.40

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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.