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Finding the Fourth Proportional to 151,594.84, 209,201.70 and 83,614.20

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Solution

The fourth proportional to 151,594.84, 209,201.70 and 83,614.20 is: 115,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,594.84 : 209,201.70 = 83,614.20 : x
  2. Step 2: Convert to fraction form
    151,594.84/209,201.70 = 83,614.20/x
  3. Step 3: Cross multiply
    151,594.84x = 209,201.70 × 83,614.20
  4. Step 4: Simplify right side
    151,594.84x = 17,492,232,784.14
  5. Step 5: Solve for x
    x = 17,492,232,784.14/151,594.84
  6. Step 6: Final answer
    x = 115,388.05

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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.