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Finding the Fourth Proportional to 142,473.74, 213,631.70 and 58,293

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Solution

The fourth proportional to 142,473.74, 213,631.70 and 58,293 is: 87,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,473.74 : 213,631.70 = 58,293 : x
  2. Step 2: Convert to fraction form
    142,473.74/213,631.70 = 58,293/x
  3. Step 3: Cross multiply
    142,473.74x = 213,631.70 × 58,293
  4. Step 4: Simplify right side
    142,473.74x = 12,453,232,396.64
  5. Step 5: Solve for x
    x = 12,453,232,396.64/142,473.74
  6. Step 6: Final answer
    x = 87,407.22

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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.