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Finding the Fourth Proportional to 130,415.60, 195,623.40 and 83,759.60

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Solution

The fourth proportional to 130,415.60, 195,623.40 and 83,759.60 is: 125,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,415.60 : 195,623.40 = 83,759.60 : x
  2. Step 2: Convert to fraction form
    130,415.60/195,623.40 = 83,759.60/x
  3. Step 3: Cross multiply
    130,415.60x = 195,623.40 × 83,759.60
  4. Step 4: Simplify right side
    130,415.60x = 16,385,337,734.64
  5. Step 5: Solve for x
    x = 16,385,337,734.64/130,415.60
  6. Step 6: Final answer
    x = 125,639.40

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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.