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Finding the Fourth Proportional to 295,709.90, 443,856.45 and 146,119.10

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Solution

The fourth proportional to 295,709.90, 443,856.45 and 146,119.10 is: 219,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,709.90 : 443,856.45 = 146,119.10 : x
  2. Step 2: Convert to fraction form
    295,709.90/443,856.45 = 146,119.10/x
  3. Step 3: Cross multiply
    295,709.90x = 443,856.45 × 146,119.10
  4. Step 4: Simplify right side
    295,709.90x = 64,855,905,003.20
  5. Step 5: Solve for x
    x = 64,855,905,003.20/295,709.90
  6. Step 6: Final answer
    x = 219,322.74

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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.