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Finding the Fourth Proportional to 228,999.96, 343,204.26 and 102,547.80

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Solution

The fourth proportional to 228,999.96, 343,204.26 and 102,547.80 is: 153,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,999.96 : 343,204.26 = 102,547.80 : x
  2. Step 2: Convert to fraction form
    228,999.96/343,204.26 = 102,547.80/x
  3. Step 3: Cross multiply
    228,999.96x = 343,204.26 × 102,547.80
  4. Step 4: Simplify right side
    228,999.96x = 35,194,841,813.63
  5. Step 5: Solve for x
    x = 35,194,841,813.63/228,999.96
  6. Step 6: Final answer
    x = 153,689.29

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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.