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Finding the Fourth Proportional to 233,425.02, 322,010.18 and 142,622.76

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Solution

The fourth proportional to 233,425.02, 322,010.18 and 142,622.76 is: 196,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,425.02 : 322,010.18 = 142,622.76 : x
  2. Step 2: Convert to fraction form
    233,425.02/322,010.18 = 142,622.76/x
  3. Step 3: Cross multiply
    233,425.02x = 322,010.18 × 142,622.76
  4. Step 4: Simplify right side
    233,425.02x = 45,925,980,619.70
  5. Step 5: Solve for x
    x = 45,925,980,619.70/233,425.02
  6. Step 6: Final answer
    x = 196,748.32

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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.