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Finding the Fourth Proportional to 265,030.98, 365,654.40 and 150,295.32

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Solution

The fourth proportional to 265,030.98, 365,654.40 and 150,295.32 is: 207,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,030.98 : 365,654.40 = 150,295.32 : x
  2. Step 2: Convert to fraction form
    265,030.98/365,654.40 = 150,295.32/x
  3. Step 3: Cross multiply
    265,030.98x = 365,654.40 × 150,295.32
  4. Step 4: Simplify right side
    265,030.98x = 54,956,145,057.41
  5. Step 5: Solve for x
    x = 54,956,145,057.41/265,030.98
  6. Step 6: Final answer
    x = 207,357.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.