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Finding the Fourth Proportional to 226,390.68, 312,514.92 and 152,819.16

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Solution

The fourth proportional to 226,390.68, 312,514.92 and 152,819.16 is: 210,955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,390.68 : 312,514.92 = 152,819.16 : x
  2. Step 2: Convert to fraction form
    226,390.68/312,514.92 = 152,819.16/x
  3. Step 3: Cross multiply
    226,390.68x = 312,514.92 × 152,819.16
  4. Step 4: Simplify right side
    226,390.68x = 47,758,267,561.87
  5. Step 5: Solve for x
    x = 47,758,267,561.87/226,390.68
  6. Step 6: Final answer
    x = 210,955.10

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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.