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Finding the Fourth Proportional to 295,909.40, 443,864.10 and 130,021.40

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Solution

The fourth proportional to 295,909.40, 443,864.10 and 130,021.40 is: 195,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,909.40 : 443,864.10 = 130,021.40 : x
  2. Step 2: Convert to fraction form
    295,909.40/443,864.10 = 130,021.40/x
  3. Step 3: Cross multiply
    295,909.40x = 443,864.10 × 130,021.40
  4. Step 4: Simplify right side
    295,909.40x = 57,711,831,691.74
  5. Step 5: Solve for x
    x = 57,711,831,691.74/295,909.40
  6. Step 6: Final answer
    x = 195,032.10

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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.