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Finding the Fourth Proportional to 223,189.16, 334,784.28 and 54,710.24

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Solution

The fourth proportional to 223,189.16, 334,784.28 and 54,710.24 is: 82,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,189.16 : 334,784.28 = 54,710.24 : x
  2. Step 2: Convert to fraction form
    223,189.16/334,784.28 = 54,710.24/x
  3. Step 3: Cross multiply
    223,189.16x = 334,784.28 × 54,710.24
  4. Step 4: Simplify right side
    223,189.16x = 18,316,128,307.03
  5. Step 5: Solve for x
    x = 18,316,128,307.03/223,189.16
  6. Step 6: Final answer
    x = 82,065.49

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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.