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Finding the Fourth Proportional to 208,086.49, 287,159.51 and 144,461.19

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Solution

The fourth proportional to 208,086.49, 287,159.51 and 144,461.19 is: 199,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,086.49 : 287,159.51 = 144,461.19 : x
  2. Step 2: Convert to fraction form
    208,086.49/287,159.51 = 144,461.19/x
  3. Step 3: Cross multiply
    208,086.49x = 287,159.51 × 144,461.19
  4. Step 4: Simplify right side
    208,086.49x = 41,483,404,534.42
  5. Step 5: Solve for x
    x = 41,483,404,534.42/208,086.49
  6. Step 6: Final answer
    x = 199,356.55

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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.