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Finding the Fourth Proportional to 223,882.34, 308,432.16 and 155,782.19

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Solution

The fourth proportional to 223,882.34, 308,432.16 and 155,782.19 is: 214,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,882.34 : 308,432.16 = 155,782.19 : x
  2. Step 2: Convert to fraction form
    223,882.34/308,432.16 = 155,782.19/x
  3. Step 3: Cross multiply
    223,882.34x = 308,432.16 × 155,782.19
  4. Step 4: Simplify right side
    223,882.34x = 48,048,235,809.07
  5. Step 5: Solve for x
    x = 48,048,235,809.07/223,882.34
  6. Step 6: Final answer
    x = 214,613.79

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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.