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Finding the Fourth Proportional to 105,189.36, 157,797 and 42,851.76

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Solution

The fourth proportional to 105,189.36, 157,797 and 42,851.76 is: 64,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,189.36 : 157,797 = 42,851.76 : x
  2. Step 2: Convert to fraction form
    105,189.36/157,797 = 42,851.76/x
  3. Step 3: Cross multiply
    105,189.36x = 157,797 × 42,851.76
  4. Step 4: Simplify right side
    105,189.36x = 6,761,879,172.72
  5. Step 5: Solve for x
    x = 6,761,879,172.72/105,189.36
  6. Step 6: Final answer
    x = 64,282.92

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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.