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Finding the Fourth Proportional to 154,693.34, 213,482.64 and 86,711.65

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Solution

The fourth proportional to 154,693.34, 213,482.64 and 86,711.65 is: 119,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,693.34 : 213,482.64 = 86,711.65 : x
  2. Step 2: Convert to fraction form
    154,693.34/213,482.64 = 86,711.65/x
  3. Step 3: Cross multiply
    154,693.34x = 213,482.64 × 86,711.65
  4. Step 4: Simplify right side
    154,693.34x = 18,511,430,814.15
  5. Step 5: Solve for x
    x = 18,511,430,814.15/154,693.34
  6. Step 6: Final answer
    x = 119,665.33

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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.