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Finding the Fourth Proportional to 288,136.50, 432,207.18 and 101,148

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Solution

The fourth proportional to 288,136.50, 432,207.18 and 101,148 is: 151,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,136.50 : 432,207.18 = 101,148 : x
  2. Step 2: Convert to fraction form
    288,136.50/432,207.18 = 101,148/x
  3. Step 3: Cross multiply
    288,136.50x = 432,207.18 × 101,148
  4. Step 4: Simplify right side
    288,136.50x = 43,716,891,842.64
  5. Step 5: Solve for x
    x = 43,716,891,842.64/288,136.50
  6. Step 6: Final answer
    x = 151,722.85

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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.