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Finding the Fourth Proportional to 169,367.16, 233,709.84 and 97,770.25

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Solution

The fourth proportional to 169,367.16, 233,709.84 and 97,770.25 is: 134,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,367.16 : 233,709.84 = 97,770.25 : x
  2. Step 2: Convert to fraction form
    169,367.16/233,709.84 = 97,770.25/x
  3. Step 3: Cross multiply
    169,367.16x = 233,709.84 × 97,770.25
  4. Step 4: Simplify right side
    169,367.16x = 22,849,868,899.99
  5. Step 5: Solve for x
    x = 22,849,868,899.99/169,367.16
  6. Step 6: Final answer
    x = 134,913.22

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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.