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Finding the Fourth Proportional to 249,855.76, 344,809.48 and 142,441.68

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Solution

The fourth proportional to 249,855.76, 344,809.48 and 142,441.68 is: 196,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,855.76 : 344,809.48 = 142,441.68 : x
  2. Step 2: Convert to fraction form
    249,855.76/344,809.48 = 142,441.68/x
  3. Step 3: Cross multiply
    249,855.76x = 344,809.48 × 142,441.68
  4. Step 4: Simplify right side
    249,855.76x = 49,115,241,611.13
  5. Step 5: Solve for x
    x = 49,115,241,611.13/249,855.76
  6. Step 6: Final answer
    x = 196,574.38

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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.