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Finding the Fourth Proportional to 154,407.26, 213,085.80 and 86,423.66

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Solution

The fourth proportional to 154,407.26, 213,085.80 and 86,423.66 is: 119,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,407.26 : 213,085.80 = 86,423.66 : x
  2. Step 2: Convert to fraction form
    154,407.26/213,085.80 = 86,423.66/x
  3. Step 3: Cross multiply
    154,407.26x = 213,085.80 × 86,423.66
  4. Step 4: Simplify right side
    154,407.26x = 18,415,654,730.03
  5. Step 5: Solve for x
    x = 18,415,654,730.03/154,407.26
  6. Step 6: Final answer
    x = 119,266.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.