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Finding the Fourth Proportional to 139,929.68, 209,938.91 and 49,970.43

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Solution

The fourth proportional to 139,929.68, 209,938.91 and 49,970.43 is: 74,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,929.68 : 209,938.91 = 49,970.43 : x
  2. Step 2: Convert to fraction form
    139,929.68/209,938.91 = 49,970.43/x
  3. Step 3: Cross multiply
    139,929.68x = 209,938.91 × 49,970.43
  4. Step 4: Simplify right side
    139,929.68x = 10,490,737,356.58
  5. Step 5: Solve for x
    x = 10,490,737,356.58/139,929.68
  6. Step 6: Final answer
    x = 74,971.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.