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Finding the Fourth Proportional to 249,929.76, 344,894.49 and 142,534.38

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Solution

The fourth proportional to 249,929.76, 344,894.49 and 142,534.38 is: 196,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,929.76 : 344,894.49 = 142,534.38 : x
  2. Step 2: Convert to fraction form
    249,929.76/344,894.49 = 142,534.38/x
  3. Step 3: Cross multiply
    249,929.76x = 344,894.49 × 142,534.38
  4. Step 4: Simplify right side
    249,929.76x = 49,159,322,297.57
  5. Step 5: Solve for x
    x = 49,159,322,297.57/249,929.76
  6. Step 6: Final answer
    x = 196,692.55

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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.