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Finding the Fourth Proportional to 310,077.70, 465,116.55 and 99,736.90

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Solution

The fourth proportional to 310,077.70, 465,116.55 and 99,736.90 is: 149,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,077.70 : 465,116.55 = 99,736.90 : x
  2. Step 2: Convert to fraction form
    310,077.70/465,116.55 = 99,736.90/x
  3. Step 3: Cross multiply
    310,077.70x = 465,116.55 × 99,736.90
  4. Step 4: Simplify right side
    310,077.70x = 46,389,282,835.70
  5. Step 5: Solve for x
    x = 46,389,282,835.70/310,077.70
  6. Step 6: Final answer
    x = 149,605.35

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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.