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Finding the Fourth Proportional to 145,973.80, 218,960.70 and 116,449.30

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Solution

The fourth proportional to 145,973.80, 218,960.70 and 116,449.30 is: 174,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,973.80 : 218,960.70 = 116,449.30 : x
  2. Step 2: Convert to fraction form
    145,973.80/218,960.70 = 116,449.30/x
  3. Step 3: Cross multiply
    145,973.80x = 218,960.70 × 116,449.30
  4. Step 4: Simplify right side
    145,973.80x = 25,497,820,242.51
  5. Step 5: Solve for x
    x = 25,497,820,242.51/145,973.80
  6. Step 6: Final answer
    x = 174,673.95

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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.