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Finding the Fourth Proportional to 105,234.84, 145,156.50 and 64,379.88

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Solution

The fourth proportional to 105,234.84, 145,156.50 and 64,379.88 is: 88,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,234.84 : 145,156.50 = 64,379.88 : x
  2. Step 2: Convert to fraction form
    105,234.84/145,156.50 = 64,379.88/x
  3. Step 3: Cross multiply
    105,234.84x = 145,156.50 × 64,379.88
  4. Step 4: Simplify right side
    105,234.84x = 9,345,158,051.22
  5. Step 5: Solve for x
    x = 9,345,158,051.22/105,234.84
  6. Step 6: Final answer
    x = 88,802.89

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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.