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Finding the Fourth Proportional to 212,051.20, 318,076.80 and 101,459.20

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Solution

The fourth proportional to 212,051.20, 318,076.80 and 101,459.20 is: 152,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,051.20 : 318,076.80 = 101,459.20 : x
  2. Step 2: Convert to fraction form
    212,051.20/318,076.80 = 101,459.20/x
  3. Step 3: Cross multiply
    212,051.20x = 318,076.80 × 101,459.20
  4. Step 4: Simplify right side
    212,051.20x = 32,271,817,666.56
  5. Step 5: Solve for x
    x = 32,271,817,666.56/212,051.20
  6. Step 6: Final answer
    x = 152,188.80

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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.