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Finding the Fourth Proportional to 564,111.10, 846,205.05 and 164,751.10

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Solution

The fourth proportional to 564,111.10, 846,205.05 and 164,751.10 is: 247,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,111.10 : 846,205.05 = 164,751.10 : x
  2. Step 2: Convert to fraction form
    564,111.10/846,205.05 = 164,751.10/x
  3. Step 3: Cross multiply
    564,111.10x = 846,205.05 × 164,751.10
  4. Step 4: Simplify right side
    564,111.10x = 139,413,212,813.06
  5. Step 5: Solve for x
    x = 139,413,212,813.06/564,111.10
  6. Step 6: Final answer
    x = 247,137.86

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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.