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Finding the Fourth Proportional to 182,848.64, 274,280.16 and 56,477.64

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Solution

The fourth proportional to 182,848.64, 274,280.16 and 56,477.64 is: 84,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,848.64 : 274,280.16 = 56,477.64 : x
  2. Step 2: Convert to fraction form
    182,848.64/274,280.16 = 56,477.64/x
  3. Step 3: Cross multiply
    182,848.64x = 274,280.16 × 56,477.64
  4. Step 4: Simplify right side
    182,848.64x = 15,490,696,135.62
  5. Step 5: Solve for x
    x = 15,490,696,135.62/182,848.64
  6. Step 6: Final answer
    x = 84,718.68

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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.