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Finding the Fourth Proportional to 208,527.84, 287,768.76 and 113,034.48

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Solution

The fourth proportional to 208,527.84, 287,768.76 and 113,034.48 is: 155,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,527.84 : 287,768.76 = 113,034.48 : x
  2. Step 2: Convert to fraction form
    208,527.84/287,768.76 = 113,034.48/x
  3. Step 3: Cross multiply
    208,527.84x = 287,768.76 × 113,034.48
  4. Step 4: Simplify right side
    208,527.84x = 32,527,792,146.84
  5. Step 5: Solve for x
    x = 32,527,792,146.84/208,527.84
  6. Step 6: Final answer
    x = 155,987.77

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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.