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Finding the Fourth Proportional to 543,114.16, 814,671.92 and 188,128.14

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Solution

The fourth proportional to 543,114.16, 814,671.92 and 188,128.14 is: 282,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,114.16 : 814,671.92 = 188,128.14 : x
  2. Step 2: Convert to fraction form
    543,114.16/814,671.92 = 188,128.14/x
  3. Step 3: Cross multiply
    543,114.16x = 814,671.92 × 188,128.14
  4. Step 4: Simplify right side
    543,114.16x = 153,262,713,019.83
  5. Step 5: Solve for x
    x = 153,262,713,019.83/543,114.16
  6. Step 6: Final answer
    x = 282,192.45

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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.