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Finding the Fourth Proportional to 142,484.04, 213,679.26 and 52,506

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Solution

The fourth proportional to 142,484.04, 213,679.26 and 52,506 is: 78,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,484.04 : 213,679.26 = 52,506 : x
  2. Step 2: Convert to fraction form
    142,484.04/213,679.26 = 52,506/x
  3. Step 3: Cross multiply
    142,484.04x = 213,679.26 × 52,506
  4. Step 4: Simplify right side
    142,484.04x = 11,219,443,225.56
  5. Step 5: Solve for x
    x = 11,219,443,225.56/142,484.04
  6. Step 6: Final answer
    x = 78,741.75

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Why These Related Problems?

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