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Finding the Fourth Proportional to 169,122.94, 233,409.31 and 97,505.53

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Solution

The fourth proportional to 169,122.94, 233,409.31 and 97,505.53 is: 134,568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,122.94 : 233,409.31 = 97,505.53 : x
  2. Step 2: Convert to fraction form
    169,122.94/233,409.31 = 97,505.53/x
  3. Step 3: Cross multiply
    169,122.94x = 233,409.31 × 97,505.53
  4. Step 4: Simplify right side
    169,122.94x = 22,758,698,478.48
  5. Step 5: Solve for x
    x = 22,758,698,478.48/169,122.94
  6. Step 6: Final answer
    x = 134,568.96

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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.