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Finding the Fourth Proportional to 193,014.12, 266,374.25 and 111,357

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Solution

The fourth proportional to 193,014.12, 266,374.25 and 111,357 is: 153,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,014.12 : 266,374.25 = 111,357 : x
  2. Step 2: Convert to fraction form
    193,014.12/266,374.25 = 111,357/x
  3. Step 3: Cross multiply
    193,014.12x = 266,374.25 × 111,357
  4. Step 4: Simplify right side
    193,014.12x = 29,662,636,800.47
  5. Step 5: Solve for x
    x = 29,662,636,800.47/193,014.12
  6. Step 6: Final answer
    x = 153,681.18

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