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Finding the Fourth Proportional to 145,423.14, 218,092.56 and 56,656.86

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Solution

The fourth proportional to 145,423.14, 218,092.56 and 56,656.86 is: 84,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,423.14 : 218,092.56 = 56,656.86 : x
  2. Step 2: Convert to fraction form
    145,423.14/218,092.56 = 56,656.86/x
  3. Step 3: Cross multiply
    145,423.14x = 218,092.56 × 56,656.86
  4. Step 4: Simplify right side
    145,423.14x = 12,356,439,638.96
  5. Step 5: Solve for x
    x = 12,356,439,638.96/145,423.14
  6. Step 6: Final answer
    x = 84,968.87

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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.