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Finding the Fourth Proportional to 83,309.74, 114,885.53 and 76,394.57

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Solution

The fourth proportional to 83,309.74, 114,885.53 and 76,394.57 is: 105,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,309.74 : 114,885.53 = 76,394.57 : x
  2. Step 2: Convert to fraction form
    83,309.74/114,885.53 = 76,394.57/x
  3. Step 3: Cross multiply
    83,309.74x = 114,885.53 × 76,394.57
  4. Step 4: Simplify right side
    83,309.74x = 8,776,630,663.57
  5. Step 5: Solve for x
    x = 8,776,630,663.57/83,309.74
  6. Step 6: Final answer
    x = 105,349.39

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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.