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Finding the Fourth Proportional to 249,574.64, 344,474.19 and 142,207.97

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Solution

The fourth proportional to 249,574.64, 344,474.19 and 142,207.97 is: 196,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,574.64 : 344,474.19 = 142,207.97 : x
  2. Step 2: Convert to fraction form
    249,574.64/344,474.19 = 142,207.97/x
  3. Step 3: Cross multiply
    249,574.64x = 344,474.19 × 142,207.97
  4. Step 4: Simplify right side
    249,574.64x = 48,986,973,554.92
  5. Step 5: Solve for x
    x = 48,986,973,554.92/249,574.64
  6. Step 6: Final answer
    x = 196,281.86

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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.