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Finding the Fourth Proportional to 277,509.12, 382,962.56 and 150,184.74

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Solution

The fourth proportional to 277,509.12, 382,962.56 and 150,184.74 is: 207,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,509.12 : 382,962.56 = 150,184.74 : x
  2. Step 2: Convert to fraction form
    277,509.12/382,962.56 = 150,184.74/x
  3. Step 3: Cross multiply
    277,509.12x = 382,962.56 × 150,184.74
  4. Step 4: Simplify right side
    277,509.12x = 57,515,132,503.33
  5. Step 5: Solve for x
    x = 57,515,132,503.33/277,509.12
  6. Step 6: Final answer
    x = 207,254.93

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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.