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Finding the Fourth Proportional to 295,312, 442,963.84 and 137,452.16

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Solution

The fourth proportional to 295,312, 442,963.84 and 137,452.16 is: 206,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,312 : 442,963.84 = 137,452.16 : x
  2. Step 2: Convert to fraction form
    295,312/442,963.84 = 137,452.16/x
  3. Step 3: Cross multiply
    295,312x = 442,963.84 × 137,452.16
  4. Step 4: Simplify right side
    295,312x = 60,886,336,609.89
  5. Step 5: Solve for x
    x = 60,886,336,609.89/295,312
  6. Step 6: Final answer
    x = 206,176.30

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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.