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Finding the Fourth Proportional to 210,770.54, 316,172.31 and 61,013.08

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Solution

The fourth proportional to 210,770.54, 316,172.31 and 61,013.08 is: 91,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,770.54 : 316,172.31 = 61,013.08 : x
  2. Step 2: Convert to fraction form
    210,770.54/316,172.31 = 61,013.08/x
  3. Step 3: Cross multiply
    210,770.54x = 316,172.31 × 61,013.08
  4. Step 4: Simplify right side
    210,770.54x = 19,290,646,443.81
  5. Step 5: Solve for x
    x = 19,290,646,443.81/210,770.54
  6. Step 6: Final answer
    x = 91,524.40

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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.