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Finding the Fourth Proportional to 265,984, 367,057.92 and 146,752

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Solution

The fourth proportional to 265,984, 367,057.92 and 146,752 is: 202,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,984 : 367,057.92 = 146,752 : x
  2. Step 2: Convert to fraction form
    265,984/367,057.92 = 146,752/x
  3. Step 3: Cross multiply
    265,984x = 367,057.92 × 146,752
  4. Step 4: Simplify right side
    265,984x = 53,866,483,875.84
  5. Step 5: Solve for x
    x = 53,866,483,875.84/265,984
  6. Step 6: Final answer
    x = 202,517.76

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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.