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Finding the Fourth Proportional to 233,580.24, 322,292.52 and 148,666.32

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Solution

The fourth proportional to 233,580.24, 322,292.52 and 148,666.32 is: 205,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,580.24 : 322,292.52 = 148,666.32 : x
  2. Step 2: Convert to fraction form
    233,580.24/322,292.52 = 148,666.32/x
  3. Step 3: Cross multiply
    233,580.24x = 322,292.52 × 148,666.32
  4. Step 4: Simplify right side
    233,580.24x = 47,914,042,911.93
  5. Step 5: Solve for x
    x = 47,914,042,911.93/233,580.24
  6. Step 6: Final answer
    x = 205,128.84

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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.