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Finding the Fourth Proportional to 152,104.80, 209,472.24 and 148,848.48

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Solution

The fourth proportional to 152,104.80, 209,472.24 and 148,848.48 is: 204,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,104.80 : 209,472.24 = 148,848.48 : x
  2. Step 2: Convert to fraction form
    152,104.80/209,472.24 = 148,848.48/x
  3. Step 3: Cross multiply
    152,104.80x = 209,472.24 × 148,848.48
  4. Step 4: Simplify right side
    152,104.80x = 31,179,624,526.20
  5. Step 5: Solve for x
    x = 31,179,624,526.20/152,104.80
  6. Step 6: Final answer
    x = 204,987.78

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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.