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Finding the Fourth Proportional to 169,152.84, 233,538.48 and 105,584.04

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Solution

The fourth proportional to 169,152.84, 233,538.48 and 105,584.04 is: 145,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,152.84 : 233,538.48 = 105,584.04 : x
  2. Step 2: Convert to fraction form
    169,152.84/233,538.48 = 105,584.04/x
  3. Step 3: Cross multiply
    169,152.84x = 233,538.48 × 105,584.04
  4. Step 4: Simplify right side
    169,152.84x = 24,657,936,213.86
  5. Step 5: Solve for x
    x = 24,657,936,213.86/169,152.84
  6. Step 6: Final answer
    x = 145,773.11

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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.