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Finding the Fourth Proportional to 238,343.76, 357,510.15 and 119,983.32

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Solution

The fourth proportional to 238,343.76, 357,510.15 and 119,983.32 is: 179,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,343.76 : 357,510.15 = 119,983.32 : x
  2. Step 2: Convert to fraction form
    238,343.76/357,510.15 = 119,983.32/x
  3. Step 3: Cross multiply
    238,343.76x = 357,510.15 × 119,983.32
  4. Step 4: Simplify right side
    238,343.76x = 42,895,254,730.70
  5. Step 5: Solve for x
    x = 42,895,254,730.70/238,343.76
  6. Step 6: Final answer
    x = 179,972.22

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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.