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Finding the Fourth Proportional to 254,415.40, 381,812.70 and 96,951.40

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Solution

The fourth proportional to 254,415.40, 381,812.70 and 96,951.40 is: 145,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,415.40 : 381,812.70 = 96,951.40 : x
  2. Step 2: Convert to fraction form
    254,415.40/381,812.70 = 96,951.40/x
  3. Step 3: Cross multiply
    254,415.40x = 381,812.70 × 96,951.40
  4. Step 4: Simplify right side
    254,415.40x = 37,017,275,802.78
  5. Step 5: Solve for x
    x = 37,017,275,802.78/254,415.40
  6. Step 6: Final answer
    x = 145,499.35

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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.