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Finding the Fourth Proportional to 102,164.94, 140,984.08 and 56,220.30

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Solution

The fourth proportional to 102,164.94, 140,984.08 and 56,220.30 is: 77,582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,164.94 : 140,984.08 = 56,220.30 : x
  2. Step 2: Convert to fraction form
    102,164.94/140,984.08 = 56,220.30/x
  3. Step 3: Cross multiply
    102,164.94x = 140,984.08 × 56,220.30
  4. Step 4: Simplify right side
    102,164.94x = 7,926,167,272.82
  5. Step 5: Solve for x
    x = 7,926,167,272.82/102,164.94
  6. Step 6: Final answer
    x = 77,582.07

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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.