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Finding the Fourth Proportional to 177,322.30, 265,983.45 and 162,807.10

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Solution

The fourth proportional to 177,322.30, 265,983.45 and 162,807.10 is: 244,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,322.30 : 265,983.45 = 162,807.10 : x
  2. Step 2: Convert to fraction form
    177,322.30/265,983.45 = 162,807.10/x
  3. Step 3: Cross multiply
    177,322.30x = 265,983.45 × 162,807.10
  4. Step 4: Simplify right side
    177,322.30x = 43,303,994,142.50
  5. Step 5: Solve for x
    x = 43,303,994,142.50/177,322.30
  6. Step 6: Final answer
    x = 244,210.65

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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.