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Finding the Fourth Proportional to 280,998.90, 387,784.14 and 153,682.68

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Solution

The fourth proportional to 280,998.90, 387,784.14 and 153,682.68 is: 212,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,998.90 : 387,784.14 = 153,682.68 : x
  2. Step 2: Convert to fraction form
    280,998.90/387,784.14 = 153,682.68/x
  3. Step 3: Cross multiply
    280,998.90x = 387,784.14 × 153,682.68
  4. Step 4: Simplify right side
    280,998.90x = 59,595,705,896.70
  5. Step 5: Solve for x
    x = 59,595,705,896.70/280,998.90
  6. Step 6: Final answer
    x = 212,085.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.