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Finding the Fourth Proportional to 116,152.63, 160,231.55 and 75,889.96

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Solution

The fourth proportional to 116,152.63, 160,231.55 and 75,889.96 is: 104,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,152.63 : 160,231.55 = 75,889.96 : x
  2. Step 2: Convert to fraction form
    116,152.63/160,231.55 = 75,889.96/x
  3. Step 3: Cross multiply
    116,152.63x = 160,231.55 × 75,889.96
  4. Step 4: Simplify right side
    116,152.63x = 12,159,965,140.21
  5. Step 5: Solve for x
    x = 12,159,965,140.21/116,152.63
  6. Step 6: Final answer
    x = 104,689.54

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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.