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Finding the Fourth Proportional to 105,262.69, 145,262.55 and 56,864.64

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Solution

The fourth proportional to 105,262.69, 145,262.55 and 56,864.64 is: 78,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,262.69 : 145,262.55 = 56,864.64 : x
  2. Step 2: Convert to fraction form
    105,262.69/145,262.55 = 56,864.64/x
  3. Step 3: Cross multiply
    105,262.69x = 145,262.55 × 56,864.64
  4. Step 4: Simplify right side
    105,262.69x = 8,260,302,611.23
  5. Step 5: Solve for x
    x = 8,260,302,611.23/105,262.69
  6. Step 6: Final answer
    x = 78,473.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.