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Finding the Fourth Proportional to 295,483.56, 442,918.80 and 137,582.16

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Solution

The fourth proportional to 295,483.56, 442,918.80 and 137,582.16 is: 206,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,483.56 : 442,918.80 = 137,582.16 : x
  2. Step 2: Convert to fraction form
    295,483.56/442,918.80 = 137,582.16/x
  3. Step 3: Cross multiply
    295,483.56x = 442,918.80 × 137,582.16
  4. Step 4: Simplify right side
    295,483.56x = 60,937,725,208.61
  5. Step 5: Solve for x
    x = 60,937,725,208.61/295,483.56
  6. Step 6: Final answer
    x = 206,230.51

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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.