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Finding the Fourth Proportional to 223,374.84, 308,329.14 and 143,018.82

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Solution

The fourth proportional to 223,374.84, 308,329.14 and 143,018.82 is: 197,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,374.84 : 308,329.14 = 143,018.82 : x
  2. Step 2: Convert to fraction form
    223,374.84/308,329.14 = 143,018.82/x
  3. Step 3: Cross multiply
    223,374.84x = 308,329.14 × 143,018.82
  4. Step 4: Simplify right side
    223,374.84x = 44,096,869,774.41
  5. Step 5: Solve for x
    x = 44,096,869,774.41/223,374.84
  6. Step 6: Final answer
    x = 197,411.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.