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Finding the Fourth Proportional to 210,943.40, 316,365.23 and 77,751.32

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Solution

The fourth proportional to 210,943.40, 316,365.23 and 77,751.32 is: 116,608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,943.40 : 316,365.23 = 77,751.32 : x
  2. Step 2: Convert to fraction form
    210,943.40/316,365.23 = 77,751.32/x
  3. Step 3: Cross multiply
    210,943.40x = 316,365.23 × 77,751.32
  4. Step 4: Simplify right side
    210,943.40x = 24,597,814,234.60
  5. Step 5: Solve for x
    x = 24,597,814,234.60/210,943.40
  6. Step 6: Final answer
    x = 116,608.60

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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.