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Finding the Fourth Proportional to 152,523.84, 229,955.88 and 142,233.72

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Solution

The fourth proportional to 152,523.84, 229,955.88 and 142,233.72 is: 214,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,523.84 : 229,955.88 = 142,233.72 : x
  2. Step 2: Convert to fraction form
    152,523.84/229,955.88 = 142,233.72/x
  3. Step 3: Cross multiply
    152,523.84x = 229,955.88 × 142,233.72
  4. Step 4: Simplify right side
    152,523.84x = 32,707,480,248.27
  5. Step 5: Solve for x
    x = 32,707,480,248.27/152,523.84
  6. Step 6: Final answer
    x = 214,441.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.