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Finding the Fourth Proportional to 277,512.12, 382,966.70 and 150,187.74

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Solution

The fourth proportional to 277,512.12, 382,966.70 and 150,187.74 is: 207,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,512.12 : 382,966.70 = 150,187.74 : x
  2. Step 2: Convert to fraction form
    277,512.12/382,966.70 = 150,187.74/x
  3. Step 3: Cross multiply
    277,512.12x = 382,966.70 × 150,187.74
  4. Step 4: Simplify right side
    277,512.12x = 57,516,903,168.26
  5. Step 5: Solve for x
    x = 57,516,903,168.26/277,512.12
  6. Step 6: Final answer
    x = 207,259.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.