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Finding the Fourth Proportional to 214,345.76, 295,796.64 and 118,850

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Solution

The fourth proportional to 214,345.76, 295,796.64 and 118,850 is: 164,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,345.76 : 295,796.64 = 118,850 : x
  2. Step 2: Convert to fraction form
    214,345.76/295,796.64 = 118,850/x
  3. Step 3: Cross multiply
    214,345.76x = 295,796.64 × 118,850
  4. Step 4: Simplify right side
    214,345.76x = 35,155,430,664
  5. Step 5: Solve for x
    x = 35,155,430,664/214,345.76
  6. Step 6: Final answer
    x = 164,012.72

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Why These Related Problems?

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