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Finding the Fourth Proportional to 151,563.83, 209,153.58 and 83,580.80

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Solution

The fourth proportional to 151,563.83, 209,153.58 and 83,580.80 is: 115,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,563.83 : 209,153.58 = 83,580.80 : x
  2. Step 2: Convert to fraction form
    151,563.83/209,153.58 = 83,580.80/x
  3. Step 3: Cross multiply
    151,563.83x = 209,153.58 × 83,580.80
  4. Step 4: Simplify right side
    151,563.83x = 17,481,223,539.26
  5. Step 5: Solve for x
    x = 17,481,223,539.26/151,563.83
  6. Step 6: Final answer
    x = 115,339.02

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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.