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Finding the Fourth Proportional to 292,201.74, 438,315.12 and 114,747.14

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Solution

The fourth proportional to 292,201.74, 438,315.12 and 114,747.14 is: 172,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,201.74 : 438,315.12 = 114,747.14 : x
  2. Step 2: Convert to fraction form
    292,201.74/438,315.12 = 114,747.14/x
  3. Step 3: Cross multiply
    292,201.74x = 438,315.12 × 114,747.14
  4. Step 4: Simplify right side
    292,201.74x = 50,295,406,438.76
  5. Step 5: Solve for x
    x = 50,295,406,438.76/292,201.74
  6. Step 6: Final answer
    x = 172,125.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.