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Finding the Fourth Proportional to 102,101.16, 153,159.06 and 27,220.92

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Solution

The fourth proportional to 102,101.16, 153,159.06 and 27,220.92 is: 40,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,101.16 : 153,159.06 = 27,220.92 : x
  2. Step 2: Convert to fraction form
    102,101.16/153,159.06 = 27,220.92/x
  3. Step 3: Cross multiply
    102,101.16x = 153,159.06 × 27,220.92
  4. Step 4: Simplify right side
    102,101.16x = 4,169,130,519.54
  5. Step 5: Solve for x
    x = 4,169,130,519.54/102,101.16
  6. Step 6: Final answer
    x = 40,833.33

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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.