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Finding the Fourth Proportional to 152,218.40, 228,392.40 and 96,101.60

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Solution

The fourth proportional to 152,218.40, 228,392.40 and 96,101.60 is: 144,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,218.40 : 228,392.40 = 96,101.60 : x
  2. Step 2: Convert to fraction form
    152,218.40/228,392.40 = 96,101.60/x
  3. Step 3: Cross multiply
    152,218.40x = 228,392.40 × 96,101.60
  4. Step 4: Simplify right side
    152,218.40x = 21,948,875,067.84
  5. Step 5: Solve for x
    x = 21,948,875,067.84/152,218.40
  6. Step 6: Final answer
    x = 144,193.31

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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.