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Finding the Fourth Proportional to 268,454.40, 402,681.60 and 81,465.60

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Solution

The fourth proportional to 268,454.40, 402,681.60 and 81,465.60 is: 122,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,454.40 : 402,681.60 = 81,465.60 : x
  2. Step 2: Convert to fraction form
    268,454.40/402,681.60 = 81,465.60/x
  3. Step 3: Cross multiply
    268,454.40x = 402,681.60 × 81,465.60
  4. Step 4: Simplify right side
    268,454.40x = 32,804,698,152.96
  5. Step 5: Solve for x
    x = 32,804,698,152.96/268,454.40
  6. Step 6: Final answer
    x = 122,198.40

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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.