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Finding the Fourth Proportional to 100,315, 138,434.72 and 55,603

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Solution

The fourth proportional to 100,315, 138,434.72 and 55,603 is: 76,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,315 : 138,434.72 = 55,603 : x
  2. Step 2: Convert to fraction form
    100,315/138,434.72 = 55,603/x
  3. Step 3: Cross multiply
    100,315x = 138,434.72 × 55,603
  4. Step 4: Simplify right side
    100,315x = 7,697,385,736.16
  5. Step 5: Solve for x
    x = 7,697,385,736.16/100,315
  6. Step 6: Final answer
    x = 76,732.15

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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.