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Finding the Fourth Proportional to 210,326.80, 314,971.80 and 139,824.40

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Solution

The fourth proportional to 210,326.80, 314,971.80 and 139,824.40 is: 209,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,326.80 : 314,971.80 = 139,824.40 : x
  2. Step 2: Convert to fraction form
    210,326.80/314,971.80 = 139,824.40/x
  3. Step 3: Cross multiply
    210,326.80x = 314,971.80 × 139,824.40
  4. Step 4: Simplify right side
    210,326.80x = 44,040,742,951.92
  5. Step 5: Solve for x
    x = 44,040,742,951.92/210,326.80
  6. Step 6: Final answer
    x = 209,391.97

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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.