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Finding the Fourth Proportional to 229,804.95, 317,043.58 and 142,549.57

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Solution

The fourth proportional to 229,804.95, 317,043.58 and 142,549.57 is: 196,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,804.95 : 317,043.58 = 142,549.57 : x
  2. Step 2: Convert to fraction form
    229,804.95/317,043.58 = 142,549.57/x
  3. Step 3: Cross multiply
    229,804.95x = 317,043.58 × 142,549.57
  4. Step 4: Simplify right side
    229,804.95x = 45,194,426,507.93
  5. Step 5: Solve for x
    x = 45,194,426,507.93/229,804.95
  6. Step 6: Final answer
    x = 196,664.29

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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.