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Finding the Fourth Proportional to 105,304.56, 157,859.64 and 52,668.24

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Solution

The fourth proportional to 105,304.56, 157,859.64 and 52,668.24 is: 78,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,304.56 : 157,859.64 = 52,668.24 : x
  2. Step 2: Convert to fraction form
    105,304.56/157,859.64 = 52,668.24/x
  3. Step 3: Cross multiply
    105,304.56x = 157,859.64 × 52,668.24
  4. Step 4: Simplify right side
    105,304.56x = 8,314,189,405.83
  5. Step 5: Solve for x
    x = 8,314,189,405.83/105,304.56
  6. Step 6: Final answer
    x = 78,953.75

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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.