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Finding the Fourth Proportional to 154,038.49, 231,094.65 and 48,857.42

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Solution

The fourth proportional to 154,038.49, 231,094.65 and 48,857.42 is: 73,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,038.49 : 231,094.65 = 48,857.42 : x
  2. Step 2: Convert to fraction form
    154,038.49/231,094.65 = 48,857.42/x
  3. Step 3: Cross multiply
    154,038.49x = 231,094.65 × 48,857.42
  4. Step 4: Simplify right side
    154,038.49x = 11,290,688,374.80
  5. Step 5: Solve for x
    x = 11,290,688,374.80/154,038.49
  6. Step 6: Final answer
    x = 73,297.84

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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.