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Finding the Fourth Proportional to 161,531.76, 242,307.36 and 50,723.76

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Solution

The fourth proportional to 161,531.76, 242,307.36 and 50,723.76 is: 76,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,531.76 : 242,307.36 = 50,723.76 : x
  2. Step 2: Convert to fraction form
    161,531.76/242,307.36 = 50,723.76/x
  3. Step 3: Cross multiply
    161,531.76x = 242,307.36 × 50,723.76
  4. Step 4: Simplify right side
    161,531.76x = 12,290,740,374.87
  5. Step 5: Solve for x
    x = 12,290,740,374.87/161,531.76
  6. Step 6: Final answer
    x = 76,088.69

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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.