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Finding the Fourth Proportional to 353,129, 487,318.02 and 194,153

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Solution

The fourth proportional to 353,129, 487,318.02 and 194,153 is: 267,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,129 : 487,318.02 = 194,153 : x
  2. Step 2: Convert to fraction form
    353,129/487,318.02 = 194,153/x
  3. Step 3: Cross multiply
    353,129x = 487,318.02 × 194,153
  4. Step 4: Simplify right side
    353,129x = 94,614,255,537.06
  5. Step 5: Solve for x
    x = 94,614,255,537.06/353,129
  6. Step 6: Final answer
    x = 267,931.14

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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.