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Finding the Fourth Proportional to 233,518.14, 322,130.52 and 142,918.02

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Solution

The fourth proportional to 233,518.14, 322,130.52 and 142,918.02 is: 197,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,518.14 : 322,130.52 = 142,918.02 : x
  2. Step 2: Convert to fraction form
    233,518.14/322,130.52 = 142,918.02/x
  3. Step 3: Cross multiply
    233,518.14x = 322,130.52 × 142,918.02
  4. Step 4: Simplify right side
    233,518.14x = 46,038,256,099.97
  5. Step 5: Solve for x
    x = 46,038,256,099.97/233,518.14
  6. Step 6: Final answer
    x = 197,150.66

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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.