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Finding the Fourth Proportional to 142,851.60, 214,212.60 and 54,075.60

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Solution

The fourth proportional to 142,851.60, 214,212.60 and 54,075.60 is: 81,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,851.60 : 214,212.60 = 54,075.60 : x
  2. Step 2: Convert to fraction form
    142,851.60/214,212.60 = 54,075.60/x
  3. Step 3: Cross multiply
    142,851.60x = 214,212.60 × 54,075.60
  4. Step 4: Simplify right side
    142,851.60x = 11,583,674,872.56
  5. Step 5: Solve for x
    x = 11,583,674,872.56/142,851.60
  6. Step 6: Final answer
    x = 81,088.87

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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.