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Finding the Fourth Proportional to 102,223.49, 153,291.49 and 35,643.92

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Solution

The fourth proportional to 102,223.49, 153,291.49 and 35,643.92 is: 53,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,223.49 : 153,291.49 = 35,643.92 : x
  2. Step 2: Convert to fraction form
    102,223.49/153,291.49 = 35,643.92/x
  3. Step 3: Cross multiply
    102,223.49x = 153,291.49 × 35,643.92
  4. Step 4: Simplify right side
    102,223.49x = 5,463,908,750.67
  5. Step 5: Solve for x
    x = 5,463,908,750.67/102,223.49
  6. Step 6: Final answer
    x = 53,450.62

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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.