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Finding the Fourth Proportional to 208,428.06, 287,636.07 and 127,900.08

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Solution

The fourth proportional to 208,428.06, 287,636.07 and 127,900.08 is: 176,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,428.06 : 287,636.07 = 127,900.08 : x
  2. Step 2: Convert to fraction form
    208,428.06/287,636.07 = 127,900.08/x
  3. Step 3: Cross multiply
    208,428.06x = 287,636.07 × 127,900.08
  4. Step 4: Simplify right side
    208,428.06x = 36,788,676,363.89
  5. Step 5: Solve for x
    x = 36,788,676,363.89/208,428.06
  6. Step 6: Final answer
    x = 176,505.39

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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.