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Finding the Fourth Proportional to 265,214.44, 366,013.38 and 152,039.08

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Solution

The fourth proportional to 265,214.44, 366,013.38 and 152,039.08 is: 209,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,214.44 : 366,013.38 = 152,039.08 : x
  2. Step 2: Convert to fraction form
    265,214.44/366,013.38 = 152,039.08/x
  3. Step 3: Cross multiply
    265,214.44x = 366,013.38 × 152,039.08
  4. Step 4: Simplify right side
    265,214.44x = 55,648,337,562.89
  5. Step 5: Solve for x
    x = 55,648,337,562.89/265,214.44
  6. Step 6: Final answer
    x = 209,823.94

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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.