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Finding the Fourth Proportional to 180,501.52, 271,000.72 and 91,814.98

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Solution

The fourth proportional to 180,501.52, 271,000.72 and 91,814.98 is: 137,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,501.52 : 271,000.72 = 91,814.98 : x
  2. Step 2: Convert to fraction form
    180,501.52/271,000.72 = 91,814.98/x
  3. Step 3: Cross multiply
    180,501.52x = 271,000.72 × 91,814.98
  4. Step 4: Simplify right side
    180,501.52x = 24,881,925,686.79
  5. Step 5: Solve for x
    x = 24,881,925,686.79/180,501.52
  6. Step 6: Final answer
    x = 137,848.84

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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.