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Finding the Fourth Proportional to 180,835.68, 249,550.32 and 99,163.68

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Solution

The fourth proportional to 180,835.68, 249,550.32 and 99,163.68 is: 136,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,835.68 : 249,550.32 = 99,163.68 : x
  2. Step 2: Convert to fraction form
    180,835.68/249,550.32 = 99,163.68/x
  3. Step 3: Cross multiply
    180,835.68x = 249,550.32 × 99,163.68
  4. Step 4: Simplify right side
    180,835.68x = 24,746,328,076.38
  5. Step 5: Solve for x
    x = 24,746,328,076.38/180,835.68
  6. Step 6: Final answer
    x = 136,844.28

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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.