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Finding the Fourth Proportional to 116,524, 160,803.28 and 63,532

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Solution

The fourth proportional to 116,524, 160,803.28 and 63,532 is: 87,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,524 : 160,803.28 = 63,532 : x
  2. Step 2: Convert to fraction form
    116,524/160,803.28 = 63,532/x
  3. Step 3: Cross multiply
    116,524x = 160,803.28 × 63,532
  4. Step 4: Simplify right side
    116,524x = 10,216,153,984.96
  5. Step 5: Solve for x
    x = 10,216,153,984.96/116,524
  6. Step 6: Final answer
    x = 87,674.25

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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.