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Finding the Fourth Proportional to 128,727.38, 177,653.51 and 72,142.40

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Solution

The fourth proportional to 128,727.38, 177,653.51 and 72,142.40 is: 99,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,727.38 : 177,653.51 = 72,142.40 : x
  2. Step 2: Convert to fraction form
    128,727.38/177,653.51 = 72,142.40/x
  3. Step 3: Cross multiply
    128,727.38x = 177,653.51 × 72,142.40
  4. Step 4: Simplify right side
    128,727.38x = 12,816,349,330.84
  5. Step 5: Solve for x
    x = 12,816,349,330.84/128,727.38
  6. Step 6: Final answer
    x = 99,561.96

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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.