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Finding the Fourth Proportional to 277,741.86, 383,283.14 and 150,417.15

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Solution

The fourth proportional to 277,741.86, 383,283.14 and 150,417.15 is: 207,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,741.86 : 383,283.14 = 150,417.15 : x
  2. Step 2: Convert to fraction form
    277,741.86/383,283.14 = 150,417.15/x
  3. Step 3: Cross multiply
    277,741.86x = 383,283.14 × 150,417.15
  4. Step 4: Simplify right side
    277,741.86x = 57,652,356,809.77
  5. Step 5: Solve for x
    x = 57,652,356,809.77/277,741.86
  6. Step 6: Final answer
    x = 207,575.32

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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.