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Finding the Fourth Proportional to 116,126.46, 160,256.93 and 65,825.46

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Solution

The fourth proportional to 116,126.46, 160,256.93 and 65,825.46 is: 90,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,126.46 : 160,256.93 = 65,825.46 : x
  2. Step 2: Convert to fraction form
    116,126.46/160,256.93 = 65,825.46/x
  3. Step 3: Cross multiply
    116,126.46x = 160,256.93 × 65,825.46
  4. Step 4: Simplify right side
    116,126.46x = 10,548,985,806.31
  5. Step 5: Solve for x
    x = 10,548,985,806.31/116,126.46
  6. Step 6: Final answer
    x = 90,840.50

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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.