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Finding the Fourth Proportional to 195,873.60, 293,810.40 and 48,129.60

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Solution

The fourth proportional to 195,873.60, 293,810.40 and 48,129.60 is: 72,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,873.60 : 293,810.40 = 48,129.60 : x
  2. Step 2: Convert to fraction form
    195,873.60/293,810.40 = 48,129.60/x
  3. Step 3: Cross multiply
    195,873.60x = 293,810.40 × 48,129.60
  4. Step 4: Simplify right side
    195,873.60x = 14,140,977,027.84
  5. Step 5: Solve for x
    x = 14,140,977,027.84/195,873.60
  6. Step 6: Final answer
    x = 72,194.40

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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.