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Finding the Fourth Proportional to 210,826.50, 316,239.75 and 61,066.83

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Solution

The fourth proportional to 210,826.50, 316,239.75 and 61,066.83 is: 91,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,826.50 : 316,239.75 = 61,066.83 : x
  2. Step 2: Convert to fraction form
    210,826.50/316,239.75 = 61,066.83/x
  3. Step 3: Cross multiply
    210,826.50x = 316,239.75 × 61,066.83
  4. Step 4: Simplify right side
    210,826.50x = 19,311,759,052.49
  5. Step 5: Solve for x
    x = 19,311,759,052.49/210,826.50
  6. Step 6: Final answer
    x = 91,600.25

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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.