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Finding the Fourth Proportional to 169,367.41, 233,710.19 and 97,770.50

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Solution

The fourth proportional to 169,367.41, 233,710.19 and 97,770.50 is: 134,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,367.41 : 233,710.19 = 97,770.50 : x
  2. Step 2: Convert to fraction form
    169,367.41/233,710.19 = 97,770.50/x
  3. Step 3: Cross multiply
    169,367.41x = 233,710.19 × 97,770.50
  4. Step 4: Simplify right side
    169,367.41x = 22,849,961,642.54
  5. Step 5: Solve for x
    x = 22,849,961,642.54/169,367.41
  6. Step 6: Final answer
    x = 134,913.57

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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.