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Finding the Fourth Proportional to 105,604, 158,208.24 and 52,951.84

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Solution

The fourth proportional to 105,604, 158,208.24 and 52,951.84 is: 79,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,604 : 158,208.24 = 52,951.84 : x
  2. Step 2: Convert to fraction form
    105,604/158,208.24 = 52,951.84/x
  3. Step 3: Cross multiply
    105,604x = 158,208.24 × 52,951.84
  4. Step 4: Simplify right side
    105,604x = 8,377,417,411.16
  5. Step 5: Solve for x
    x = 8,377,417,411.16/105,604
  6. Step 6: Final answer
    x = 79,328.60

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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.