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Finding the Fourth Proportional to 143,047.16, 214,609.46 and 43,210.60

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Solution

The fourth proportional to 143,047.16, 214,609.46 and 43,210.60 is: 64,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,047.16 : 214,609.46 = 43,210.60 : x
  2. Step 2: Convert to fraction form
    143,047.16/214,609.46 = 43,210.60/x
  3. Step 3: Cross multiply
    143,047.16x = 214,609.46 × 43,210.60
  4. Step 4: Simplify right side
    143,047.16x = 9,273,403,532.28
  5. Step 5: Solve for x
    x = 9,273,403,532.28/143,047.16
  6. Step 6: Final answer
    x = 64,827.60

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Why These Related Problems?

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