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Finding the Fourth Proportional to 106,341.77, 146,738.30 and 61,013.76

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Solution

The fourth proportional to 106,341.77, 146,738.30 and 61,013.76 is: 84,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,341.77 : 146,738.30 = 61,013.76 : x
  2. Step 2: Convert to fraction form
    106,341.77/146,738.30 = 61,013.76/x
  3. Step 3: Cross multiply
    106,341.77x = 146,738.30 × 61,013.76
  4. Step 4: Simplify right side
    106,341.77x = 8,953,055,113.94
  5. Step 5: Solve for x
    x = 8,953,055,113.94/106,341.77
  6. Step 6: Final answer
    x = 84,191.33

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1.5x scale

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.