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Finding the Fourth Proportional to 295,838.64, 443,664 and 96,112.89

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Solution

The fourth proportional to 295,838.64, 443,664 and 96,112.89 is: 144,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,838.64 : 443,664 = 96,112.89 : x
  2. Step 2: Convert to fraction form
    295,838.64/443,664 = 96,112.89/x
  3. Step 3: Cross multiply
    295,838.64x = 443,664 × 96,112.89
  4. Step 4: Simplify right side
    295,838.64x = 42,641,829,228.96
  5. Step 5: Solve for x
    x = 42,641,829,228.96/295,838.64
  6. Step 6: Final answer
    x = 144,138.81

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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.