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Finding the Fourth Proportional to 169,357.88, 233,733.12 and 97,757.12

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Solution

The fourth proportional to 169,357.88, 233,733.12 and 97,757.12 is: 134,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,357.88 : 233,733.12 = 97,757.12 : x
  2. Step 2: Convert to fraction form
    169,357.88/233,733.12 = 97,757.12/x
  3. Step 3: Cross multiply
    169,357.88x = 233,733.12 × 97,757.12
  4. Step 4: Simplify right side
    169,357.88x = 22,849,076,659.81
  5. Step 5: Solve for x
    x = 22,849,076,659.81/169,357.88
  6. Step 6: Final answer
    x = 134,915.93

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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.