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Finding the Fourth Proportional to 564,109.60, 846,202.80 and 164,749.60

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Solution

The fourth proportional to 564,109.60, 846,202.80 and 164,749.60 is: 247,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,109.60 : 846,202.80 = 164,749.60 : x
  2. Step 2: Convert to fraction form
    564,109.60/846,202.80 = 164,749.60/x
  3. Step 3: Cross multiply
    564,109.60x = 846,202.80 × 164,749.60
  4. Step 4: Simplify right side
    564,109.60x = 139,411,572,818.88
  5. Step 5: Solve for x
    x = 139,411,572,818.88/564,109.60
  6. Step 6: Final answer
    x = 247,135.61

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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.