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Finding the Fourth Proportional to 180,913.94, 249,497.87 and 112,937.23

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Solution

The fourth proportional to 180,913.94, 249,497.87 and 112,937.23 is: 155,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,913.94 : 249,497.87 = 112,937.23 : x
  2. Step 2: Convert to fraction form
    180,913.94/249,497.87 = 112,937.23/x
  3. Step 3: Cross multiply
    180,913.94x = 249,497.87 × 112,937.23
  4. Step 4: Simplify right side
    180,913.94x = 28,177,597,222.38
  5. Step 5: Solve for x
    x = 28,177,597,222.38/180,913.94
  6. Step 6: Final answer
    x = 155,751.38

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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.