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Finding the Fourth Proportional to 208,522.16, 287,752.87 and 113,026.81

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Solution

The fourth proportional to 208,522.16, 287,752.87 and 113,026.81 is: 155,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,522.16 : 287,752.87 = 113,026.81 : x
  2. Step 2: Convert to fraction form
    208,522.16/287,752.87 = 113,026.81/x
  3. Step 3: Cross multiply
    208,522.16x = 287,752.87 × 113,026.81
  4. Step 4: Simplify right side
    208,522.16x = 32,523,788,527.63
  5. Step 5: Solve for x
    x = 32,523,788,527.63/208,522.16
  6. Step 6: Final answer
    x = 155,972.81

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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.