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Finding the Fourth Proportional to 145,412.14, 218,076.06 and 56,645.86

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Solution

The fourth proportional to 145,412.14, 218,076.06 and 56,645.86 is: 84,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,412.14 : 218,076.06 = 56,645.86 : x
  2. Step 2: Convert to fraction form
    145,412.14/218,076.06 = 56,645.86/x
  3. Step 3: Cross multiply
    145,412.14x = 218,076.06 × 56,645.86
  4. Step 4: Simplify right side
    145,412.14x = 12,353,105,964.11
  5. Step 5: Solve for x
    x = 12,353,105,964.11/145,412.14
  6. Step 6: Final answer
    x = 84,952.37

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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.