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Finding the Fourth Proportional to 259,649.60, 358,316.32 and 140,417.60

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Solution

The fourth proportional to 259,649.60, 358,316.32 and 140,417.60 is: 193,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,649.60 : 358,316.32 = 140,417.60 : x
  2. Step 2: Convert to fraction form
    259,649.60/358,316.32 = 140,417.60/x
  3. Step 3: Cross multiply
    259,649.60x = 358,316.32 × 140,417.60
  4. Step 4: Simplify right side
    259,649.60x = 50,313,917,695.23
  5. Step 5: Solve for x
    x = 50,313,917,695.23/259,649.60
  6. Step 6: Final answer
    x = 193,776.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.