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Finding the Fourth Proportional to 249,787.83, 344,713.13 and 142,367.86

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Solution

The fourth proportional to 249,787.83, 344,713.13 and 142,367.86 is: 196,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,787.83 : 344,713.13 = 142,367.86 : x
  2. Step 2: Convert to fraction form
    249,787.83/344,713.13 = 142,367.86/x
  3. Step 3: Cross multiply
    249,787.83x = 344,713.13 × 142,367.86
  4. Step 4: Simplify right side
    249,787.83x = 49,076,070,632.00
  5. Step 5: Solve for x
    x = 49,076,070,632.00/249,787.83
  6. Step 6: Final answer
    x = 196,471.02

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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.