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Finding the Fourth Proportional to 280,514.90, 387,113.64 and 153,194.24

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Solution

The fourth proportional to 280,514.90, 387,113.64 and 153,194.24 is: 211,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,514.90 : 387,113.64 = 153,194.24 : x
  2. Step 2: Convert to fraction form
    280,514.90/387,113.64 = 153,194.24/x
  3. Step 3: Cross multiply
    280,514.90x = 387,113.64 × 153,194.24
  4. Step 4: Simplify right side
    280,514.90x = 59,303,579,873.43
  5. Step 5: Solve for x
    x = 59,303,579,873.43/280,514.90
  6. Step 6: Final answer
    x = 211,409.73

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