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Finding the Fourth Proportional to 162,158.64, 243,237.96 and 51,342

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Solution

The fourth proportional to 162,158.64, 243,237.96 and 51,342 is: 77,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,158.64 : 243,237.96 = 51,342 : x
  2. Step 2: Convert to fraction form
    162,158.64/243,237.96 = 51,342/x
  3. Step 3: Cross multiply
    162,158.64x = 243,237.96 × 51,342
  4. Step 4: Simplify right side
    162,158.64x = 12,488,323,342.32
  5. Step 5: Solve for x
    x = 12,488,323,342.32/162,158.64
  6. Step 6: Final answer
    x = 77,013.00

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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.