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Finding the Fourth Proportional to 180,699.75, 249,369.26 and 105,253.11

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Solution

The fourth proportional to 180,699.75, 249,369.26 and 105,253.11 is: 145,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,699.75 : 249,369.26 = 105,253.11 : x
  2. Step 2: Convert to fraction form
    180,699.75/249,369.26 = 105,253.11/x
  3. Step 3: Cross multiply
    180,699.75x = 249,369.26 × 105,253.11
  4. Step 4: Simplify right side
    180,699.75x = 26,246,889,627.13
  5. Step 5: Solve for x
    x = 26,246,889,627.13/180,699.75
  6. Step 6: Final answer
    x = 145,251.39

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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.