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Finding the Fourth Proportional to 228,958.40, 343,437.60 and 102,598.40

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Solution

The fourth proportional to 228,958.40, 343,437.60 and 102,598.40 is: 153,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,958.40 : 343,437.60 = 102,598.40 : x
  2. Step 2: Convert to fraction form
    228,958.40/343,437.60 = 102,598.40/x
  3. Step 3: Cross multiply
    228,958.40x = 343,437.60 × 102,598.40
  4. Step 4: Simplify right side
    228,958.40x = 35,236,148,259.84
  5. Step 5: Solve for x
    x = 35,236,148,259.84/228,958.40
  6. Step 6: Final answer
    x = 153,897.60

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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.