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Finding the Fourth Proportional to 277,510.42, 382,965.06 and 150,187.42

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Solution

The fourth proportional to 277,510.42, 382,965.06 and 150,187.42 is: 207,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,510.42 : 382,965.06 = 150,187.42 : x
  2. Step 2: Convert to fraction form
    277,510.42/382,965.06 = 150,187.42/x
  3. Step 3: Cross multiply
    277,510.42x = 382,965.06 × 150,187.42
  4. Step 4: Simplify right side
    277,510.42x = 57,516,534,311.55
  5. Step 5: Solve for x
    x = 57,516,534,311.55/277,510.42
  6. Step 6: Final answer
    x = 207,259.01

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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.