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Finding the Fourth Proportional to 192,158.58, 288,412.79 and 102,276.76

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Solution

The fourth proportional to 192,158.58, 288,412.79 and 102,276.76 is: 153,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,158.58 : 288,412.79 = 102,276.76 : x
  2. Step 2: Convert to fraction form
    192,158.58/288,412.79 = 102,276.76/x
  3. Step 3: Cross multiply
    192,158.58x = 288,412.79 × 102,276.76
  4. Step 4: Simplify right side
    192,158.58x = 29,497,925,703.76
  5. Step 5: Solve for x
    x = 29,497,925,703.76/192,158.58
  6. Step 6: Final answer
    x = 153,508.24

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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.