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Finding the Fourth Proportional to 161,710.60, 242,565.90 and 142,027.60

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Solution

The fourth proportional to 161,710.60, 242,565.90 and 142,027.60 is: 213,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,710.60 : 242,565.90 = 142,027.60 : x
  2. Step 2: Convert to fraction form
    161,710.60/242,565.90 = 142,027.60/x
  3. Step 3: Cross multiply
    161,710.60x = 242,565.90 × 142,027.60
  4. Step 4: Simplify right side
    161,710.60x = 34,451,052,618.84
  5. Step 5: Solve for x
    x = 34,451,052,618.84/161,710.60
  6. Step 6: Final answer
    x = 213,041.40

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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.