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Finding the Fourth Proportional to 249,200.94, 343,851.30 and 141,764.70

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Solution

The fourth proportional to 249,200.94, 343,851.30 and 141,764.70 is: 195,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,200.94 : 343,851.30 = 141,764.70 : x
  2. Step 2: Convert to fraction form
    249,200.94/343,851.30 = 141,764.70/x
  3. Step 3: Cross multiply
    249,200.94x = 343,851.30 × 141,764.70
  4. Step 4: Simplify right side
    249,200.94x = 48,745,976,389.11
  5. Step 5: Solve for x
    x = 48,745,976,389.11/249,200.94
  6. Step 6: Final answer
    x = 195,609.12

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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.