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Finding the Fourth Proportional to 180,678.27, 249,344 and 100,105.77

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Solution

The fourth proportional to 180,678.27, 249,344 and 100,105.77 is: 138,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,678.27 : 249,344 = 100,105.77 : x
  2. Step 2: Convert to fraction form
    180,678.27/249,344 = 100,105.77/x
  3. Step 3: Cross multiply
    180,678.27x = 249,344 × 100,105.77
  4. Step 4: Simplify right side
    180,678.27x = 24,960,773,114.88
  5. Step 5: Solve for x
    x = 24,960,773,114.88/180,678.27
  6. Step 6: Final answer
    x = 138,150.39

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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.