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Finding the Fourth Proportional to 106,678.12, 147,222 and 63,646.24

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Solution

The fourth proportional to 106,678.12, 147,222 and 63,646.24 is: 87,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,678.12 : 147,222 = 63,646.24 : x
  2. Step 2: Convert to fraction form
    106,678.12/147,222 = 63,646.24/x
  3. Step 3: Cross multiply
    106,678.12x = 147,222 × 63,646.24
  4. Step 4: Simplify right side
    106,678.12x = 9,370,126,745.28
  5. Step 5: Solve for x
    x = 9,370,126,745.28/106,678.12
  6. Step 6: Final answer
    x = 87,835.51

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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.