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Finding the Fourth Proportional to 249,089.94, 343,751.70 and 141,675.44

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Solution

The fourth proportional to 249,089.94, 343,751.70 and 141,675.44 is: 195,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,089.94 : 343,751.70 = 141,675.44 : x
  2. Step 2: Convert to fraction form
    249,089.94/343,751.70 = 141,675.44/x
  3. Step 3: Cross multiply
    249,089.94x = 343,751.70 × 141,675.44
  4. Step 4: Simplify right side
    249,089.94x = 48,701,173,348.25
  5. Step 5: Solve for x
    x = 48,701,173,348.25/249,089.94
  6. Step 6: Final answer
    x = 195,516.42

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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.