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Finding the Fourth Proportional to 234,210.60, 351,279.45 and 65,714.40

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Solution

The fourth proportional to 234,210.60, 351,279.45 and 65,714.40 is: 98,561.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,210.60 : 351,279.45 = 65,714.40 : x
  2. Step 2: Convert to fraction form
    234,210.60/351,279.45 = 65,714.40/x
  3. Step 3: Cross multiply
    234,210.60x = 351,279.45 × 65,714.40
  4. Step 4: Simplify right side
    234,210.60x = 23,084,118,289.08
  5. Step 5: Solve for x
    x = 23,084,118,289.08/234,210.60
  6. Step 6: Final answer
    x = 98,561.37

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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.