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Finding the Fourth Proportional to 102,937.84, 142,056.74 and 57,615.44

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Solution

The fourth proportional to 102,937.84, 142,056.74 and 57,615.44 is: 79,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,937.84 : 142,056.74 = 57,615.44 : x
  2. Step 2: Convert to fraction form
    102,937.84/142,056.74 = 57,615.44/x
  3. Step 3: Cross multiply
    102,937.84x = 142,056.74 × 57,615.44
  4. Step 4: Simplify right side
    102,937.84x = 8,184,661,580.07
  5. Step 5: Solve for x
    x = 8,184,661,580.07/102,937.84
  6. Step 6: Final answer
    x = 79,510.72

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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.