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Finding the Fourth Proportional to 180,795.07, 249,524.82 and 115,412.14

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Solution

The fourth proportional to 180,795.07, 249,524.82 and 115,412.14 is: 159,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,795.07 : 249,524.82 = 115,412.14 : x
  2. Step 2: Convert to fraction form
    180,795.07/249,524.82 = 115,412.14/x
  3. Step 3: Cross multiply
    180,795.07x = 249,524.82 × 115,412.14
  4. Step 4: Simplify right side
    180,795.07x = 28,798,193,771.22
  5. Step 5: Solve for x
    x = 28,798,193,771.22/180,795.07
  6. Step 6: Final answer
    x = 159,286.39

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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.