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Finding the Fourth Proportional to 106,104, 146,430.72 and 61,392

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Solution

The fourth proportional to 106,104, 146,430.72 and 61,392 is: 84,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,104 : 146,430.72 = 61,392 : x
  2. Step 2: Convert to fraction form
    106,104/146,430.72 = 61,392/x
  3. Step 3: Cross multiply
    106,104x = 146,430.72 × 61,392
  4. Step 4: Simplify right side
    106,104x = 8,989,674,762.24
  5. Step 5: Solve for x
    x = 8,989,674,762.24/106,104
  6. Step 6: Final answer
    x = 84,725.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.