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Finding the Fourth Proportional to 295,143.48, 442,951.20 and 153,029.12

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Solution

The fourth proportional to 295,143.48, 442,951.20 and 153,029.12 is: 229,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,143.48 : 442,951.20 = 153,029.12 : x
  2. Step 2: Convert to fraction form
    295,143.48/442,951.20 = 153,029.12/x
  3. Step 3: Cross multiply
    295,143.48x = 442,951.20 × 153,029.12
  4. Step 4: Simplify right side
    295,143.48x = 67,784,430,124.19
  5. Step 5: Solve for x
    x = 67,784,430,124.19/295,143.48
  6. Step 6: Final answer
    x = 229,666.03

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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.