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Finding the Fourth Proportional to 152,814.50, 229,313.91 and 65,262.50

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Solution

The fourth proportional to 152,814.50, 229,313.91 and 65,262.50 is: 97,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,814.50 : 229,313.91 = 65,262.50 : x
  2. Step 2: Convert to fraction form
    152,814.50/229,313.91 = 65,262.50/x
  3. Step 3: Cross multiply
    152,814.50x = 229,313.91 × 65,262.50
  4. Step 4: Simplify right side
    152,814.50x = 14,965,599,051.38
  5. Step 5: Solve for x
    x = 14,965,599,051.38/152,814.50
  6. Step 6: Final answer
    x = 97,933.11

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