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Finding the Fourth Proportional to 116,535, 160,818.48 and 66,234

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Solution

The fourth proportional to 116,535, 160,818.48 and 66,234 is: 91,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,535 : 160,818.48 = 66,234 : x
  2. Step 2: Convert to fraction form
    116,535/160,818.48 = 66,234/x
  3. Step 3: Cross multiply
    116,535x = 160,818.48 × 66,234
  4. Step 4: Simplify right side
    116,535x = 10,651,651,204.32
  5. Step 5: Solve for x
    x = 10,651,651,204.32/116,535
  6. Step 6: Final answer
    x = 91,403.02

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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.