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Finding the Fourth Proportional to 229,534.32, 316,708.20 and 133,997.64

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Solution

The fourth proportional to 229,534.32, 316,708.20 and 133,997.64 is: 184,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,534.32 : 316,708.20 = 133,997.64 : x
  2. Step 2: Convert to fraction form
    229,534.32/316,708.20 = 133,997.64/x
  3. Step 3: Cross multiply
    229,534.32x = 316,708.20 × 133,997.64
  4. Step 4: Simplify right side
    229,534.32x = 42,438,151,368.65
  5. Step 5: Solve for x
    x = 42,438,151,368.65/229,534.32
  6. Step 6: Final answer
    x = 184,888.04

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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.