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Finding the Fourth Proportional to 116,509.98, 160,782.24 and 65,522.70

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Solution

The fourth proportional to 116,509.98, 160,782.24 and 65,522.70 is: 90,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,509.98 : 160,782.24 = 65,522.70 : x
  2. Step 2: Convert to fraction form
    116,509.98/160,782.24 = 65,522.70/x
  3. Step 3: Cross multiply
    116,509.98x = 160,782.24 × 65,522.70
  4. Step 4: Simplify right side
    116,509.98x = 10,534,886,476.85
  5. Step 5: Solve for x
    x = 10,534,886,476.85/116,509.98
  6. Step 6: Final answer
    x = 90,420.46

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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.