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Finding the Fourth Proportional to 213,328.56, 319,298.46 and 157,146.55

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Solution

The fourth proportional to 213,328.56, 319,298.46 and 157,146.55 is: 235,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,328.56 : 319,298.46 = 157,146.55 : x
  2. Step 2: Convert to fraction form
    213,328.56/319,298.46 = 157,146.55/x
  3. Step 3: Cross multiply
    213,328.56x = 319,298.46 × 157,146.55
  4. Step 4: Simplify right side
    213,328.56x = 50,176,651,409.31
  5. Step 5: Solve for x
    x = 50,176,651,409.31/213,328.56
  6. Step 6: Final answer
    x = 235,208.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.