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Finding the Fourth Proportional to 261,643.59, 361,071.93 and 146,947.05

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Solution

The fourth proportional to 261,643.59, 361,071.93 and 146,947.05 is: 202,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,643.59 : 361,071.93 = 146,947.05 : x
  2. Step 2: Convert to fraction form
    261,643.59/361,071.93 = 146,947.05/x
  3. Step 3: Cross multiply
    261,643.59x = 361,071.93 × 146,947.05
  4. Step 4: Simplify right side
    261,643.59x = 53,058,454,951.31
  5. Step 5: Solve for x
    x = 53,058,454,951.31/261,643.59
  6. Step 6: Final answer
    x = 202,789.05

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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.