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Finding the Fourth Proportional to 70,145.60, 105,233.12 and 20,225.60

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Solution

The fourth proportional to 70,145.60, 105,233.12 and 20,225.60 is: 30,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,145.60 : 105,233.12 = 20,225.60 : x
  2. Step 2: Convert to fraction form
    70,145.60/105,233.12 = 20,225.60/x
  3. Step 3: Cross multiply
    70,145.60x = 105,233.12 × 20,225.60
  4. Step 4: Simplify right side
    70,145.60x = 2,128,402,991.87
  5. Step 5: Solve for x
    x = 2,128,402,991.87/70,145.60
  6. Step 6: Final answer
    x = 30,342.64

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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.