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Finding the Fourth Proportional to 111,945, 154,484.10 and 61,644

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Solution

The fourth proportional to 111,945, 154,484.10 and 61,644 is: 85,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,945 : 154,484.10 = 61,644 : x
  2. Step 2: Convert to fraction form
    111,945/154,484.10 = 61,644/x
  3. Step 3: Cross multiply
    111,945x = 154,484.10 × 61,644
  4. Step 4: Simplify right side
    111,945x = 9,523,017,860.40
  5. Step 5: Solve for x
    x = 9,523,017,860.40/111,945
  6. Step 6: Final answer
    x = 85,068.72

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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.