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Finding the Fourth Proportional to 249,798.74, 344,713.73 and 142,403.38

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Solution

The fourth proportional to 249,798.74, 344,713.73 and 142,403.38 is: 196,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,798.74 : 344,713.73 = 142,403.38 : x
  2. Step 2: Convert to fraction form
    249,798.74/344,713.73 = 142,403.38/x
  3. Step 3: Cross multiply
    249,798.74x = 344,713.73 × 142,403.38
  4. Step 4: Simplify right side
    249,798.74x = 49,088,398,710.61
  5. Step 5: Solve for x
    x = 49,088,398,710.61/249,798.74
  6. Step 6: Final answer
    x = 196,511.80

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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.