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Finding the Fourth Proportional to 192,463.24, 265,588.51 and 106,417.24

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Solution

The fourth proportional to 192,463.24, 265,588.51 and 106,417.24 is: 146,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,463.24 : 265,588.51 = 106,417.24 : x
  2. Step 2: Convert to fraction form
    192,463.24/265,588.51 = 106,417.24/x
  3. Step 3: Cross multiply
    192,463.24x = 265,588.51 × 106,417.24
  4. Step 4: Simplify right side
    192,463.24x = 28,263,196,209.91
  5. Step 5: Solve for x
    x = 28,263,196,209.91/192,463.24
  6. Step 6: Final answer
    x = 146,849.84

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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.