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Finding the Fourth Proportional to 142,655.28, 214,018.50 and 42,817.32

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Solution

The fourth proportional to 142,655.28, 214,018.50 and 42,817.32 is: 64,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,655.28 : 214,018.50 = 42,817.32 : x
  2. Step 2: Convert to fraction form
    142,655.28/214,018.50 = 42,817.32/x
  3. Step 3: Cross multiply
    142,655.28x = 214,018.50 × 42,817.32
  4. Step 4: Simplify right side
    142,655.28x = 9,163,698,600.42
  5. Step 5: Solve for x
    x = 9,163,698,600.42/142,655.28
  6. Step 6: Final answer
    x = 64,236.66

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