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Finding the Fourth Proportional to 152,341.40, 228,486.13 and 45,696.44

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Solution

The fourth proportional to 152,341.40, 228,486.13 and 45,696.44 is: 68,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,341.40 : 228,486.13 = 45,696.44 : x
  2. Step 2: Convert to fraction form
    152,341.40/228,486.13 = 45,696.44/x
  3. Step 3: Cross multiply
    152,341.40x = 228,486.13 × 45,696.44
  4. Step 4: Simplify right side
    152,341.40x = 10,441,002,501.90
  5. Step 5: Solve for x
    x = 10,441,002,501.90/152,341.40
  6. Step 6: Final answer
    x = 68,536.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.