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Finding the Fourth Proportional to 249,504.34, 344,315.65 and 142,074.38

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Solution

The fourth proportional to 249,504.34, 344,315.65 and 142,074.38 is: 196,062.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,504.34 : 344,315.65 = 142,074.38 : x
  2. Step 2: Convert to fraction form
    249,504.34/344,315.65 = 142,074.38/x
  3. Step 3: Cross multiply
    249,504.34x = 344,315.65 × 142,074.38
  4. Step 4: Simplify right side
    249,504.34x = 48,918,431,220.45
  5. Step 5: Solve for x
    x = 48,918,431,220.45/249,504.34
  6. Step 6: Final answer
    x = 196,062.45

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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.