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Finding the Fourth Proportional to 210,559.71, 290,624.04 and 119,969.13

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Solution

The fourth proportional to 210,559.71, 290,624.04 and 119,969.13 is: 165,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,559.71 : 290,624.04 = 119,969.13 : x
  2. Step 2: Convert to fraction form
    210,559.71/290,624.04 = 119,969.13/x
  3. Step 3: Cross multiply
    210,559.71x = 290,624.04 × 119,969.13
  4. Step 4: Simplify right side
    210,559.71x = 34,865,913,235.89
  5. Step 5: Solve for x
    x = 34,865,913,235.89/210,559.71
  6. Step 6: Final answer
    x = 165,586.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.