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Finding the Fourth Proportional to 201,143.60, 301,909.80 and 101,416.40

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Solution

The fourth proportional to 201,143.60, 301,909.80 and 101,416.40 is: 152,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,143.60 : 301,909.80 = 101,416.40 : x
  2. Step 2: Convert to fraction form
    201,143.60/301,909.80 = 101,416.40/x
  3. Step 3: Cross multiply
    201,143.60x = 301,909.80 × 101,416.40
  4. Step 4: Simplify right side
    201,143.60x = 30,618,605,040.72
  5. Step 5: Solve for x
    x = 30,618,605,040.72/201,143.60
  6. Step 6: Final answer
    x = 152,222.62

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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.