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Finding the Fourth Proportional to 261,643.09, 361,071.24 and 146,946.55

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Solution

The fourth proportional to 261,643.09, 361,071.24 and 146,946.55 is: 202,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,643.09 : 361,071.24 = 146,946.55 : x
  2. Step 2: Convert to fraction form
    261,643.09/361,071.24 = 146,946.55/x
  3. Step 3: Cross multiply
    261,643.09x = 361,071.24 × 146,946.55
  4. Step 4: Simplify right side
    261,643.09x = 53,058,173,022.22
  5. Step 5: Solve for x
    x = 53,058,173,022.22/261,643.09
  6. Step 6: Final answer
    x = 202,788.36

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