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Finding the Fourth Proportional to 105,575.78, 158,210.58 and 58,200.50

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Solution

The fourth proportional to 105,575.78, 158,210.58 and 58,200.50 is: 87,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,575.78 : 158,210.58 = 58,200.50 : x
  2. Step 2: Convert to fraction form
    105,575.78/158,210.58 = 58,200.50/x
  3. Step 3: Cross multiply
    105,575.78x = 158,210.58 × 58,200.50
  4. Step 4: Simplify right side
    105,575.78x = 9,207,934,861.29
  5. Step 5: Solve for x
    x = 9,207,934,861.29/105,575.78
  6. Step 6: Final answer
    x = 87,216.36

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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.