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Finding the Fourth Proportional to 105,597.87, 158,395.58 and 42,434.07

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Solution

The fourth proportional to 105,597.87, 158,395.58 and 42,434.07 is: 63,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,597.87 : 158,395.58 = 42,434.07 : x
  2. Step 2: Convert to fraction form
    105,597.87/158,395.58 = 42,434.07/x
  3. Step 3: Cross multiply
    105,597.87x = 158,395.58 × 42,434.07
  4. Step 4: Simplify right side
    105,597.87x = 6,721,369,129.41
  5. Step 5: Solve for x
    x = 6,721,369,129.41/105,597.87
  6. Step 6: Final answer
    x = 63,650.61

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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.