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Finding the Fourth Proportional to 143,052, 214,526.16 and 64,125.60

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Solution

The fourth proportional to 143,052, 214,526.16 and 64,125.60 is: 96,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,052 : 214,526.16 = 64,125.60 : x
  2. Step 2: Convert to fraction form
    143,052/214,526.16 = 64,125.60/x
  3. Step 3: Cross multiply
    143,052x = 214,526.16 × 64,125.60
  4. Step 4: Simplify right side
    143,052x = 13,756,618,725.70
  5. Step 5: Solve for x
    x = 13,756,618,725.70/143,052
  6. Step 6: Final answer
    x = 96,165.16

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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.