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Finding the Fourth Proportional to 129,084.80, 193,538.40 and 65,782.40

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Solution

The fourth proportional to 129,084.80, 193,538.40 and 65,782.40 is: 98,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,084.80 : 193,538.40 = 65,782.40 : x
  2. Step 2: Convert to fraction form
    129,084.80/193,538.40 = 65,782.40/x
  3. Step 3: Cross multiply
    129,084.80x = 193,538.40 × 65,782.40
  4. Step 4: Simplify right side
    129,084.80x = 12,731,420,444.16
  5. Step 5: Solve for x
    x = 12,731,420,444.16/129,084.80
  6. Step 6: Final answer
    x = 98,628.35

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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.