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Finding the Fourth Proportional to 295,196.60, 442,859.70 and 145,508.60

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Solution

The fourth proportional to 295,196.60, 442,859.70 and 145,508.60 is: 218,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,196.60 : 442,859.70 = 145,508.60 : x
  2. Step 2: Convert to fraction form
    295,196.60/442,859.70 = 145,508.60/x
  3. Step 3: Cross multiply
    295,196.60x = 442,859.70 × 145,508.60
  4. Step 4: Simplify right side
    295,196.60x = 64,439,894,943.42
  5. Step 5: Solve for x
    x = 64,439,894,943.42/295,196.60
  6. Step 6: Final answer
    x = 218,294.84

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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.