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Finding the Fourth Proportional to 161,698.56, 242,438.16 and 56,460

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Solution

The fourth proportional to 161,698.56, 242,438.16 and 56,460 is: 84,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,698.56 : 242,438.16 = 56,460 : x
  2. Step 2: Convert to fraction form
    161,698.56/242,438.16 = 56,460/x
  3. Step 3: Cross multiply
    161,698.56x = 242,438.16 × 56,460
  4. Step 4: Simplify right side
    161,698.56x = 13,688,058,513.60
  5. Step 5: Solve for x
    x = 13,688,058,513.60/161,698.56
  6. Step 6: Final answer
    x = 84,651.70

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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.