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Finding the Fourth Proportional to 152,814, 229,313.16 and 65,262

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Solution

The fourth proportional to 152,814, 229,313.16 and 65,262 is: 97,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,814 : 229,313.16 = 65,262 : x
  2. Step 2: Convert to fraction form
    152,814/229,313.16 = 65,262/x
  3. Step 3: Cross multiply
    152,814x = 229,313.16 × 65,262
  4. Step 4: Simplify right side
    152,814x = 14,965,435,447.92
  5. Step 5: Solve for x
    x = 14,965,435,447.92/152,814
  6. Step 6: Final answer
    x = 97,932.36

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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.