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Finding the Fourth Proportional to 229,002.42, 316,023.61 and 133,527.57

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Solution

The fourth proportional to 229,002.42, 316,023.61 and 133,527.57 is: 184,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,002.42 : 316,023.61 = 133,527.57 : x
  2. Step 2: Convert to fraction form
    229,002.42/316,023.61 = 133,527.57/x
  3. Step 3: Cross multiply
    229,002.42x = 316,023.61 × 133,527.57
  4. Step 4: Simplify right side
    229,002.42x = 42,197,863,125.81
  5. Step 5: Solve for x
    x = 42,197,863,125.81/229,002.42
  6. Step 6: Final answer
    x = 184,268.20

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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.