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Finding the Fourth Proportional to 410,102.07, 615,153.09 and 129,597.45

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Solution

The fourth proportional to 410,102.07, 615,153.09 and 129,597.45 is: 194,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,102.07 : 615,153.09 = 129,597.45 : x
  2. Step 2: Convert to fraction form
    410,102.07/615,153.09 = 129,597.45/x
  3. Step 3: Cross multiply
    410,102.07x = 615,153.09 × 129,597.45
  4. Step 4: Simplify right side
    410,102.07x = 79,722,271,823.62
  5. Step 5: Solve for x
    x = 79,722,271,823.62/410,102.07
  6. Step 6: Final answer
    x = 194,396.17

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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.