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Finding the Fourth Proportional to 368,478.10, 552,655.32 and 102,265.66

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Solution

The fourth proportional to 368,478.10, 552,655.32 and 102,265.66 is: 153,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,478.10 : 552,655.32 = 102,265.66 : x
  2. Step 2: Convert to fraction form
    368,478.10/552,655.32 = 102,265.66/x
  3. Step 3: Cross multiply
    368,478.10x = 552,655.32 × 102,265.66
  4. Step 4: Simplify right side
    368,478.10x = 56,517,661,052.31
  5. Step 5: Solve for x
    x = 56,517,661,052.31/368,478.10
  6. Step 6: Final answer
    x = 153,381.33

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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.