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Finding the Fourth Proportional to 280,297.50, 420,513.23 and 90,758.07

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Solution

The fourth proportional to 280,297.50, 420,513.23 and 90,758.07 is: 136,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,297.50 : 420,513.23 = 90,758.07 : x
  2. Step 2: Convert to fraction form
    280,297.50/420,513.23 = 90,758.07/x
  3. Step 3: Cross multiply
    280,297.50x = 420,513.23 × 90,758.07
  4. Step 4: Simplify right side
    280,297.50x = 38,164,968,710.48
  5. Step 5: Solve for x
    x = 38,164,968,710.48/280,297.50
  6. Step 6: Final answer
    x = 136,158.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.