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Finding the Fourth Proportional to 208,130.84, 287,220.54 and 112,637.56

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Solution

The fourth proportional to 208,130.84, 287,220.54 and 112,637.56 is: 155,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,130.84 : 287,220.54 = 112,637.56 : x
  2. Step 2: Convert to fraction form
    208,130.84/287,220.54 = 112,637.56/x
  3. Step 3: Cross multiply
    208,130.84x = 287,220.54 × 112,637.56
  4. Step 4: Simplify right side
    208,130.84x = 32,351,819,371.38
  5. Step 5: Solve for x
    x = 32,351,819,371.38/208,130.84
  6. Step 6: Final answer
    x = 155,439.82

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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.