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Finding the Fourth Proportional to 114,302.16, 157,668.24 and 75,540.24

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Solution

The fourth proportional to 114,302.16, 157,668.24 and 75,540.24 is: 104,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,302.16 : 157,668.24 = 75,540.24 : x
  2. Step 2: Convert to fraction form
    114,302.16/157,668.24 = 75,540.24/x
  3. Step 3: Cross multiply
    114,302.16x = 157,668.24 × 75,540.24
  4. Step 4: Simplify right side
    114,302.16x = 11,910,296,689.98
  5. Step 5: Solve for x
    x = 11,910,296,689.98/114,302.16
  6. Step 6: Final answer
    x = 104,200.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.