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Finding the Fourth Proportional to 153,628.50, 230,442.89 and 42,820.50

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Solution

The fourth proportional to 153,628.50, 230,442.89 and 42,820.50 is: 64,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,628.50 : 230,442.89 = 42,820.50 : x
  2. Step 2: Convert to fraction form
    153,628.50/230,442.89 = 42,820.50/x
  3. Step 3: Cross multiply
    153,628.50x = 230,442.89 × 42,820.50
  4. Step 4: Simplify right side
    153,628.50x = 9,867,679,557.14
  5. Step 5: Solve for x
    x = 9,867,679,557.14/153,628.50
  6. Step 6: Final answer
    x = 64,230.79

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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.