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Finding the Fourth Proportional to 208,428.78, 287,637.05 and 127,900.81

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Solution

The fourth proportional to 208,428.78, 287,637.05 and 127,900.81 is: 176,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,428.78 : 287,637.05 = 127,900.81 : x
  2. Step 2: Convert to fraction form
    208,428.78/287,637.05 = 127,900.81/x
  3. Step 3: Cross multiply
    208,428.78x = 287,637.05 × 127,900.81
  4. Step 4: Simplify right side
    208,428.78x = 36,789,011,681.01
  5. Step 5: Solve for x
    x = 36,789,011,681.01/208,428.78
  6. Step 6: Final answer
    x = 176,506.39

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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.