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Finding the Fourth Proportional to 229,002.75, 316,023.93 and 139,578.75

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Solution

The fourth proportional to 229,002.75, 316,023.93 and 139,578.75 is: 192,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,002.75 : 316,023.93 = 139,578.75 : x
  2. Step 2: Convert to fraction form
    229,002.75/316,023.93 = 139,578.75/x
  3. Step 3: Cross multiply
    229,002.75x = 316,023.93 × 139,578.75
  4. Step 4: Simplify right side
    229,002.75x = 44,110,225,119.49
  5. Step 5: Solve for x
    x = 44,110,225,119.49/229,002.75
  6. Step 6: Final answer
    x = 192,618.76

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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.