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Finding the Fourth Proportional to 213,731.84, 294,731.52 and 142,123.52

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Solution

The fourth proportional to 213,731.84, 294,731.52 and 142,123.52 is: 195,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,731.84 : 294,731.52 = 142,123.52 : x
  2. Step 2: Convert to fraction form
    213,731.84/294,731.52 = 142,123.52/x
  3. Step 3: Cross multiply
    213,731.84x = 294,731.52 × 142,123.52
  4. Step 4: Simplify right side
    213,731.84x = 41,888,281,077.35
  5. Step 5: Solve for x
    x = 41,888,281,077.35/213,731.84
  6. Step 6: Final answer
    x = 195,985.22

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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.