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Finding the Fourth Proportional to 210,821.68, 315,725.74 and 120,590.92

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Solution

The fourth proportional to 210,821.68, 315,725.74 and 120,590.92 is: 180,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,821.68 : 315,725.74 = 120,590.92 : x
  2. Step 2: Convert to fraction form
    210,821.68/315,725.74 = 120,590.92/x
  3. Step 3: Cross multiply
    210,821.68x = 315,725.74 × 120,590.92
  4. Step 4: Simplify right side
    210,821.68x = 38,073,657,454.28
  5. Step 5: Solve for x
    x = 38,073,657,454.28/210,821.68
  6. Step 6: Final answer
    x = 180,596.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.