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Finding the Fourth Proportional to 111,564, 153,774.72 and 77,621.76

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Solution

The fourth proportional to 111,564, 153,774.72 and 77,621.76 is: 106,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,564 : 153,774.72 = 77,621.76 : x
  2. Step 2: Convert to fraction form
    111,564/153,774.72 = 77,621.76/x
  3. Step 3: Cross multiply
    111,564x = 153,774.72 × 77,621.76
  4. Step 4: Simplify right side
    111,564x = 11,936,264,409.91
  5. Step 5: Solve for x
    x = 11,936,264,409.91/111,564
  6. Step 6: Final answer
    x = 106,990.29

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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.