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Finding the Fourth Proportional to 102,920.34, 142,035.30 and 60,492.54

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Solution

The fourth proportional to 102,920.34, 142,035.30 and 60,492.54 is: 83,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,920.34 : 142,035.30 = 60,492.54 : x
  2. Step 2: Convert to fraction form
    102,920.34/142,035.30 = 60,492.54/x
  3. Step 3: Cross multiply
    102,920.34x = 142,035.30 × 60,492.54
  4. Step 4: Simplify right side
    102,920.34x = 8,592,076,066.66
  5. Step 5: Solve for x
    x = 8,592,076,066.66/102,920.34
  6. Step 6: Final answer
    x = 83,482.78

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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.