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Finding the Fourth Proportional to 201,459.40, 302,189.10 and 83,091.40

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Solution

The fourth proportional to 201,459.40, 302,189.10 and 83,091.40 is: 124,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,459.40 : 302,189.10 = 83,091.40 : x
  2. Step 2: Convert to fraction form
    201,459.40/302,189.10 = 83,091.40/x
  3. Step 3: Cross multiply
    201,459.40x = 302,189.10 × 83,091.40
  4. Step 4: Simplify right side
    201,459.40x = 25,109,315,383.74
  5. Step 5: Solve for x
    x = 25,109,315,383.74/201,459.40
  6. Step 6: Final answer
    x = 124,637.10

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1.5x scale

Why These Related Problems?

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