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Finding the Fourth Proportional to 261,573.09, 360,945.92 and 146,825.45

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Solution

The fourth proportional to 261,573.09, 360,945.92 and 146,825.45 is: 202,605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,573.09 : 360,945.92 = 146,825.45 : x
  2. Step 2: Convert to fraction form
    261,573.09/360,945.92 = 146,825.45/x
  3. Step 3: Cross multiply
    261,573.09x = 360,945.92 × 146,825.45
  4. Step 4: Simplify right side
    261,573.09x = 52,996,047,129.66
  5. Step 5: Solve for x
    x = 52,996,047,129.66/261,573.09
  6. Step 6: Final answer
    x = 202,605.12

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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.