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Finding the Fourth Proportional to 210,470.37, 315,705.56 and 77,293.01

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Solution

The fourth proportional to 210,470.37, 315,705.56 and 77,293.01 is: 115,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,470.37 : 315,705.56 = 77,293.01 : x
  2. Step 2: Convert to fraction form
    210,470.37/315,705.56 = 77,293.01/x
  3. Step 3: Cross multiply
    210,470.37x = 315,705.56 × 77,293.01
  4. Step 4: Simplify right side
    210,470.37x = 24,401,831,041.14
  5. Step 5: Solve for x
    x = 24,401,831,041.14/210,470.37
  6. Step 6: Final answer
    x = 115,939.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.