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Finding the Fourth Proportional to 208,301.94, 287,485.29 and 127,715.22

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Solution

The fourth proportional to 208,301.94, 287,485.29 and 127,715.22 is: 176,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,301.94 : 287,485.29 = 127,715.22 : x
  2. Step 2: Convert to fraction form
    208,301.94/287,485.29 = 127,715.22/x
  3. Step 3: Cross multiply
    208,301.94x = 287,485.29 × 127,715.22
  4. Step 4: Simplify right side
    208,301.94x = 36,716,247,059.11
  5. Step 5: Solve for x
    x = 36,716,247,059.11/208,301.94
  6. Step 6: Final answer
    x = 176,264.55

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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.