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Finding the Fourth Proportional to 564,109.80, 846,164.70 and 190,093.80

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Solution

The fourth proportional to 564,109.80, 846,164.70 and 190,093.80 is: 285,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,109.80 : 846,164.70 = 190,093.80 : x
  2. Step 2: Convert to fraction form
    564,109.80/846,164.70 = 190,093.80/x
  3. Step 3: Cross multiply
    564,109.80x = 846,164.70 × 190,093.80
  4. Step 4: Simplify right side
    564,109.80x = 160,850,663,248.86
  5. Step 5: Solve for x
    x = 160,850,663,248.86/564,109.80
  6. Step 6: Final answer
    x = 285,140.70

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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.