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Finding the Fourth Proportional to 214,046.60, 295,582.86 and 160,238.20

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Solution

The fourth proportional to 214,046.60, 295,582.86 and 160,238.20 is: 221,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,046.60 : 295,582.86 = 160,238.20 : x
  2. Step 2: Convert to fraction form
    214,046.60/295,582.86 = 160,238.20/x
  3. Step 3: Cross multiply
    214,046.60x = 295,582.86 × 160,238.20
  4. Step 4: Simplify right side
    214,046.60x = 47,363,665,437.25
  5. Step 5: Solve for x
    x = 47,363,665,437.25/214,046.60
  6. Step 6: Final answer
    x = 221,277.35

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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.