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Finding the Fourth Proportional to 233,555.76, 322,330.77 and 142,971.57

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Solution

The fourth proportional to 233,555.76, 322,330.77 and 142,971.57 is: 197,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,555.76 : 322,330.77 = 142,971.57 : x
  2. Step 2: Convert to fraction form
    233,555.76/322,330.77 = 142,971.57/x
  3. Step 3: Cross multiply
    233,555.76x = 322,330.77 × 142,971.57
  4. Step 4: Simplify right side
    233,555.76x = 46,084,136,246.21
  5. Step 5: Solve for x
    x = 46,084,136,246.21/233,555.76
  6. Step 6: Final answer
    x = 197,315.35

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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.