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Finding the Fourth Proportional to 102,208.12, 153,312.86 and 35,648

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Solution

The fourth proportional to 102,208.12, 153,312.86 and 35,648 is: 53,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,208.12 : 153,312.86 = 35,648 : x
  2. Step 2: Convert to fraction form
    102,208.12/153,312.86 = 35,648/x
  3. Step 3: Cross multiply
    102,208.12x = 153,312.86 × 35,648
  4. Step 4: Simplify right side
    102,208.12x = 5,465,296,833.28
  5. Step 5: Solve for x
    x = 5,465,296,833.28/102,208.12
  6. Step 6: Final answer
    x = 53,472.24

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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.