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Finding the Fourth Proportional to 114,897.40, 172,345.84 and 54,743.28

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Solution

The fourth proportional to 114,897.40, 172,345.84 and 54,743.28 is: 82,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,897.40 : 172,345.84 = 54,743.28 : x
  2. Step 2: Convert to fraction form
    114,897.40/172,345.84 = 54,743.28/x
  3. Step 3: Cross multiply
    114,897.40x = 172,345.84 × 54,743.28
  4. Step 4: Simplify right side
    114,897.40x = 9,434,775,440.51
  5. Step 5: Solve for x
    x = 9,434,775,440.51/114,897.40
  6. Step 6: Final answer
    x = 82,114.79

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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.