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Finding the Fourth Proportional to 238,437, 357,819.53 and 98,195.63

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Solution

The fourth proportional to 238,437, 357,819.53 and 98,195.63 is: 147,360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,437 : 357,819.53 = 98,195.63 : x
  2. Step 2: Convert to fraction form
    238,437/357,819.53 = 98,195.63/x
  3. Step 3: Cross multiply
    238,437x = 357,819.53 × 98,195.63
  4. Step 4: Simplify right side
    238,437x = 35,136,311,894.58
  5. Step 5: Solve for x
    x = 35,136,311,894.58/238,437
  6. Step 6: Final answer
    x = 147,360.99

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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.