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Finding the Fourth Proportional to 152,490.28, 228,774.14 and 45,873.64

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Solution

The fourth proportional to 152,490.28, 228,774.14 and 45,873.64 is: 68,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,490.28 : 228,774.14 = 45,873.64 : x
  2. Step 2: Convert to fraction form
    152,490.28/228,774.14 = 45,873.64/x
  3. Step 3: Cross multiply
    152,490.28x = 228,774.14 × 45,873.64
  4. Step 4: Simplify right side
    152,490.28x = 10,494,702,539.67
  5. Step 5: Solve for x
    x = 10,494,702,539.67/152,490.28
  6. Step 6: Final answer
    x = 68,822.11

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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.