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Finding the Fourth Proportional to 223,070.64, 334,178.20 and 138,580.08

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Solution

The fourth proportional to 223,070.64, 334,178.20 and 138,580.08 is: 207,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,070.64 : 334,178.20 = 138,580.08 : x
  2. Step 2: Convert to fraction form
    223,070.64/334,178.20 = 138,580.08/x
  3. Step 3: Cross multiply
    223,070.64x = 334,178.20 × 138,580.08
  4. Step 4: Simplify right side
    223,070.64x = 46,310,441,690.26
  5. Step 5: Solve for x
    x = 46,310,441,690.26/223,070.64
  6. Step 6: Final answer
    x = 207,604.38

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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.