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Finding the Fourth Proportional to 102,215.40, 153,323.10 and 35,633.40

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Solution

The fourth proportional to 102,215.40, 153,323.10 and 35,633.40 is: 53,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,215.40 : 153,323.10 = 35,633.40 : x
  2. Step 2: Convert to fraction form
    102,215.40/153,323.10 = 35,633.40/x
  3. Step 3: Cross multiply
    102,215.40x = 153,323.10 × 35,633.40
  4. Step 4: Simplify right side
    102,215.40x = 5,463,423,351.54
  5. Step 5: Solve for x
    x = 5,463,423,351.54/102,215.40
  6. Step 6: Final answer
    x = 53,450.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.