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Finding the Fourth Proportional to 205,159.60, 307,708.60 and 64,900

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Solution

The fourth proportional to 205,159.60, 307,708.60 and 64,900 is: 97,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,159.60 : 307,708.60 = 64,900 : x
  2. Step 2: Convert to fraction form
    205,159.60/307,708.60 = 64,900/x
  3. Step 3: Cross multiply
    205,159.60x = 307,708.60 × 64,900
  4. Step 4: Simplify right side
    205,159.60x = 19,970,288,140
  5. Step 5: Solve for x
    x = 19,970,288,140/205,159.60
  6. Step 6: Final answer
    x = 97,340.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.