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Finding the Fourth Proportional to 314,068.92, 470,855.52 and 156,211.26

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Solution

The fourth proportional to 314,068.92, 470,855.52 and 156,211.26 is: 234,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,068.92 : 470,855.52 = 156,211.26 : x
  2. Step 2: Convert to fraction form
    314,068.92/470,855.52 = 156,211.26/x
  3. Step 3: Cross multiply
    314,068.92x = 470,855.52 × 156,211.26
  4. Step 4: Simplify right side
    314,068.92x = 73,552,934,057.16
  5. Step 5: Solve for x
    x = 73,552,934,057.16/314,068.92
  6. Step 6: Final answer
    x = 234,193.61

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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.