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Finding the Fourth Proportional to 208,365.84, 287,477.82 and 127,753.02

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Solution

The fourth proportional to 208,365.84, 287,477.82 and 127,753.02 is: 176,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,365.84 : 287,477.82 = 127,753.02 : x
  2. Step 2: Convert to fraction form
    208,365.84/287,477.82 = 127,753.02/x
  3. Step 3: Cross multiply
    208,365.84x = 287,477.82 × 127,753.02
  4. Step 4: Simplify right side
    208,365.84x = 36,726,159,688.02
  5. Step 5: Solve for x
    x = 36,726,159,688.02/208,365.84
  6. Step 6: Final answer
    x = 176,258.06

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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.