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Finding the Fourth Proportional to 78,323.20, 117,484.80 and 45,145.60

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Solution

The fourth proportional to 78,323.20, 117,484.80 and 45,145.60 is: 67,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,323.20 : 117,484.80 = 45,145.60 : x
  2. Step 2: Convert to fraction form
    78,323.20/117,484.80 = 45,145.60/x
  3. Step 3: Cross multiply
    78,323.20x = 117,484.80 × 45,145.60
  4. Step 4: Simplify right side
    78,323.20x = 5,303,921,786.88
  5. Step 5: Solve for x
    x = 5,303,921,786.88/78,323.20
  6. Step 6: Final answer
    x = 67,718.40

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1.5x scale

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.