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Finding the Fourth Proportional to 161,765.40, 242,583.30 and 56,530.20

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Solution

The fourth proportional to 161,765.40, 242,583.30 and 56,530.20 is: 84,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,765.40 : 242,583.30 = 56,530.20 : x
  2. Step 2: Convert to fraction form
    161,765.40/242,583.30 = 56,530.20/x
  3. Step 3: Cross multiply
    161,765.40x = 242,583.30 × 56,530.20
  4. Step 4: Simplify right side
    161,765.40x = 13,713,282,465.66
  5. Step 5: Solve for x
    x = 13,713,282,465.66/161,765.40
  6. Step 6: Final answer
    x = 84,772.66

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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.