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Finding the Fourth Proportional to 214,048.60, 295,585.62 and 160,240.20

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Solution

The fourth proportional to 214,048.60, 295,585.62 and 160,240.20 is: 221,280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,048.60 : 295,585.62 = 160,240.20 : x
  2. Step 2: Convert to fraction form
    214,048.60/295,585.62 = 160,240.20/x
  3. Step 3: Cross multiply
    214,048.60x = 295,585.62 × 160,240.20
  4. Step 4: Simplify right side
    214,048.60x = 47,364,698,865.92
  5. Step 5: Solve for x
    x = 47,364,698,865.92/214,048.60
  6. Step 6: Final answer
    x = 221,280.12

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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.