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Finding the Fourth Proportional to 249,571.32, 344,413.62 and 140,709.72

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Solution

The fourth proportional to 249,571.32, 344,413.62 and 140,709.72 is: 194,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,571.32 : 344,413.62 = 140,709.72 : x
  2. Step 2: Convert to fraction form
    249,571.32/344,413.62 = 140,709.72/x
  3. Step 3: Cross multiply
    249,571.32x = 344,413.62 × 140,709.72
  4. Step 4: Simplify right side
    249,571.32x = 48,462,344,034.39
  5. Step 5: Solve for x
    x = 48,462,344,034.39/249,571.32
  6. Step 6: Final answer
    x = 194,182.34

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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.