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Finding the Fourth Proportional to 210,382.96, 290,316.62 and 119,760.98

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Solution

The fourth proportional to 210,382.96, 290,316.62 and 119,760.98 is: 165,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,382.96 : 290,316.62 = 119,760.98 : x
  2. Step 2: Convert to fraction form
    210,382.96/290,316.62 = 119,760.98/x
  3. Step 3: Cross multiply
    210,382.96x = 290,316.62 × 119,760.98
  4. Step 4: Simplify right side
    210,382.96x = 34,768,602,921.49
  5. Step 5: Solve for x
    x = 34,768,602,921.49/210,382.96
  6. Step 6: Final answer
    x = 165,263.40

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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.