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Finding the Fourth Proportional to 288,819.84, 432,868.50 and 139,020.06

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Solution

The fourth proportional to 288,819.84, 432,868.50 and 139,020.06 is: 208,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,819.84 : 432,868.50 = 139,020.06 : x
  2. Step 2: Convert to fraction form
    288,819.84/432,868.50 = 139,020.06/x
  3. Step 3: Cross multiply
    288,819.84x = 432,868.50 × 139,020.06
  4. Step 4: Simplify right side
    288,819.84x = 60,177,404,842.11
  5. Step 5: Solve for x
    x = 60,177,404,842.11/288,819.84
  6. Step 6: Final answer
    x = 208,356.20

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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.